On one-point functions for shinh-Gordon model at finite temperature

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On one-point functions for shinh-Gordon model at finite temperature
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Using the fermionic basis we conjecture formulae for the one-point functions of the primary fields and their descendants for sinh-Gordon model. The conjecture is checked against known results: low and high temperature limits, classical limit.
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scholar significance for the visit of the center's enduring minimal functions other this single "quotation mark you of course and he should try to do it so it is hot and the solution was unusual but this problem came from a very different that explains the gain from our looks me June with neighbor the financial is is a given by the following construction so quickly is that there is another way this is space Kansas quotient space so where is this created by too few animals so what is there on the creation apparatus yourself abundant ventilation Lee so and then there's guys are such that the factory effectively and so on this this and this is a functional you felt something like that is so eventually they under this was all this information and also to the total 108 billion which is also typical of the vision for the moment so they just interchange they have very carefully on what the speed so this is this is this is as good as opposed to the amendment so that would be more precise so what is the basis so I use here used here and went to the collaboration so let me take more team is composed of all of "quotation mark also on boys it if it impinges on so and then I that was the way this is given by this kind of that way this year and by this kind of products it at that will provide a statement is that I will explain so this is a structure which would update experimentalists along the ball was so I I will post to make it so I postulated that that if I applies a seperate as to why the wife private a few years so that the result will be a full successful there'll be some some sushi which takes care of the signatories to the subculture determine who told his mother so that the product of some special functions for every element here and for every element furious so as a special functions suggests some focus or forget about this increases results of liberalization lots of ways again this is the limit I don't have a function or on the sea views so and that is the source of the result of is is a political models but models in even most origin generators Visual history fusions we depend on them on this clung on a scanning dimensions and central challenge is that salt he even put in normal and all normal and open nominal has fusion measures like that yes the region's rich countries where you on the field when scanning dimension of course under my reflection signal to I'm wearing them as change that so so ended so why construction so this seemed satisfied this this is the 2nd 2nd 2nd deflection the coastal because want although although are some generators I have is this is this is satisfied and everything else everything else so it is this guy's satisfy as well just so of only exists changes signed what is this thing is to on all the light changes were lost mind for which means changing it not program of research and this tour has also changed which wanted nothing so this is satisfied that the same was of course for the entity but but in the end if I try to do this and that action this it's important to visit the confusions of date because some determinants of the hasn't the was is in with this can be decided from from the methods used by now and if we suppose that institutions like that and the right to impose this signal 1 afflictions it an immunity over the term of system of aggression and so you check at some of that will follow 6 page knelt down and little interest solutions just so you find solutions for and this is that's why so this is not a mathematical certainty so a problem what was the name of the National Academy of was so but anyway so there is a very special way says in a minimum when you reach a mission that kind of respect boss was of this relation so the point is so wide wide using over the term system operation that it this multiplicity of an important because so phase Swedish aid to whiners and then they will produce some multiplies and I have so this is the result of and ends and I II and III below from Minnesota generator so too has the president here so that will not be divisible by some huge huge multiplied anyway so the fact is that was again so that exists new formulated exactly
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time and then so what I want to say is that that all this vacuum expectation value over the brightest of descendants news as argument just by this fall so it when it is convenient for me to take the following following their 2 guys in their 40 year transforming as totaled 448 which will decide to do this but was wary of units and so actually is assigned to hear degrees and kind of emotional gives and important that is it is in dire functions in their function of state and end which means that when I when it lost to GTO and goes to infinity so I can just computers asymptotic white knight thinking they can boast that it had existed since it opened 15 years so the number of storage means that the asymptotic at infinity the asymptotic spent Infinity will also lost in this order policy he told final store PA minus 1 C and as important in their effort blasted the blood situated mostly in the sport 12 of those functions so as not that student immigrated to enter the integer but that image it encourages Kintyre just great fusions of it hasn't done so and that the main conjecture switches which we don't know about that if I Texas there operation descended into Michael permanent missions off this function of this various units holders In degenerative hip and so went to and from time to time this summer some at addition so Wednesday consent but essentially essentially the asymptotic so functions of water that defined a defined all all all this then went with functions so let me let me mention 1 funny scene here is that according to my opponent of what I explained when it begins so if I want to have descendants I'd have to have the same number of beta start here and done most of it will be the start and garments that and make the blastoff and download large but the constant but is it is this here so it's obvious on a number of so this formula the right hand side makes sense the number of legal status but status Black is equal to a number of Gomis stars like the flag of staff this is important because this is used to do that the Wall from defendants to Bill of Rights parameters maker late Adelaide I will construct a new concept also the 1 who function for much thought to the ball descended so what what can we check his descendants should look too much because what was not much is known about the have multiple functions and of not wanting conditions so as to when I was 2 0 0 the following procedures was explained in while at the connection so that you have you argues that you have have a long blocked all of this that is so you know you can do more out into the culprit causing of course is unwilling to coastal areas in defense of their
mentioned as on the measures combination so that the existing which blocked themselves at the end of the reflection from the London so your basic and so it is a very good approximation if you do that you have a good approximation if you just as he was in a negative you know more than that in subdued is described by the situation yes and so this is this is a reflection amplitude and so if you if you are talking very interested in the ground state so this is 0 so we Texans equations and what it doesn't do it allows me to computer demand the years here in terms of all radio all this year and is sold Of course so this procedure implies that if I take if I take years so that if I take my money .period functions for example for the operator for the operator and minus 2 years in my nose to the indicating that it must be given by all the youth formula used for December suffering minor stall where he is is replaced by this function .period years what and interviewed by my function see that and this is this is this multiplier since so now so you this fantasy that is computer from my from my so edges the of I wanted to be good right formula more beautiful than they are so different from the figure is defined by this order soldiers defied from this difference equation but you can really do it those of integral equation as acidification can get Michigan reiterated on so that you can get injured company and so this is what my student is doing analysis and she so that so if for example the dimensions this quantity is like that was subject and I don't think about that and so I just of it and you have 6 digits and that and this is this is this explains this explains that my choice III said from the beginning that there is that it is not quite clear for the conventional model how the house that identifies as the field that will ambiguous and that defines a you from from most of them from going to the demise of models of this explains the ended contact him it's so I'm now looking more financing for visitors therefore this I don't know also sources explanation didn't end of the same type as as the but here but and that was the reflection of the
equation but would like that seen so here for example is it I considered descendants yes I took the normal ordering me as a user this is easy and was about components of the arrangement and the weather I did not take the the tastiest so it but because if I would think that there is I of
course would change the primary field but the fact that this
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classical case so fine would graduate medical computing is functionally denied that and that so In this samples of this Bahia is is believed it is some will find that I will talk to people from forthcoming it the itself that Alpha might be here so as usual so as far as you do in New Year's and considered it immediately Eagles whose you know and then so this is this guy he is is this functional additional is sitting on the classical solution mission on this kind of classical solutions division so what about the conditions of the publication of "quotation mark that it lost 2 0 there there and that is a singularity like that as the origin so that you have to evaluate the action on such solutions and sold within the EU to inspection would be square news or minus special described is wanted function in the in the said classical approximation of connection request of you like and you have to the letters in Italy seoul carnival ride to work his way formula which is which is the initial step 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.period sites surrounded thereby there where Weiss coincide so I you have this kind of operation from this equation you cancel so do 1st factories which is nice himself on the floor and you introduce such a function as of this requirement that the wife on the answer coincides with the release of the movie out of the results is a full as this and this and this is the kind of your current hot on the heels of the original so it would somewhere so that you know this visit will hear the problem here so there was no longer condition some of the provisions editors of asymptotic so what exists in the form of resistance is the failure to act as a confusing at-bats and sold and about as soon this is of course so you still want to by trading day can look at so and so on but let's let's saluting this stupid with an eye to singular integral equation is slow and listened to it and wants interview with the Americans and the future of the happened but what is it what the final here is that it will I have to do this exact group called to answer yes and for example if you think if you think about what a classical connection so this is it it is doomed by a censure by the terms of this up Larson blossoms this "quotation mark firefight classical .period Leslie what is that a simple is not a simple function which share the titleholder computers that that I have no idea how the computers attendance at its lower than it would appeal the vote was rushed back to her that will now move to the vote professional services in all so now about anything so there is an intrinsic observations about life and ocean fishing along the goal so this is this is this is a fine equation and the because of the for different Lucious as say and so would that mean for the finish essentially the independent media sources this proposal so I National said OK so let's consider this kind of equations is this is this is the latest reviewed accommodation is so so it is indeed a new immigration in the sense that that in the account you assume it's like accept it and it is a view that is as good as the integration in the sense that you can write you can begin to introduce new functions dependent on like "quotation mark variables and so on and the use of genetic general examination is given by through through to functions for this message when that the shipyard on the future of the questions that his sense that let's let's just consumer furnishings this satisfied this additional this additional conditions the content of his head of the water and solutions that And so that ends and that the situated is equal to buy you can have soldiers reluctant so and this wasn't a similar arrangements this makes sense because it's a misinterpreted something interesting about this distinguished so what I want to say Is that amount my function or become so I know if I take it later this equation this good discontinued equations and they're just currency this litigation taken the lead in the quest for the win so then I will obtain a full and careful in what the military so now let's assume that that for some reason so now I want to say that that so I'm looking for solutions which satisfied with this kind of equations history to each other the shift does doesn't so that it does the same thing but also insists multiplier from from the primary if you've got some kind of like so and fewer by the same sources you need the kind of Green functions for this for this year's my functions on the so why is it so I don't know problem problem and if you just have people will tell you that's the duty yesterday taking functional introduces the observes that consumers want what we have to of you get this money would be the miracle of complete and so as since April the 2 of you I'll say that that the way I read how you can all will sing engineers for example for 4th 1 .period function that is representation in terms of supply wearable CSO which was major force and what I wrote some time ago wasn't locale of connected the montages Gordon is the best possible obligation here so it is it is so if every gun rights and inserted a metal so it is also a golf course against the state from miners guy somehow all this for years and so this gives is using this as this 1 .period function Kansas you use are related to discredit like that and so do it is new and new to the interchange lose this is the kind of this kind of generalized smothered interval because in Maddox in the Ukraine but you have just London wants Congress normally as accusing simple might extend itself under 1 school at a hearing of the I 1 that was only 1 and another wonderment on us like a that they can compute exactly the same as so many all of nations once and you can look of course even when for the collection is so that's not the way to put off my results and look to explain starting from here that the solution for the this is the expression of the some functions you the report profit for the quarter the ruffles on the the move forward they said the formula in you follows from strand separation of variables I'm saying that I can computer thing give us a little bit of a list of the whole holding his periods for reasons of Kilkenny carries inherent to be equation for the regression of integration by the authorities but without any aggression authority candidacy but I Missouri donations commute isn't go the Bloomberg has this kind of program to sentences of the 4 I think you can find him before its fall so it is assumed that all from from from rival Singapore and the other was a report from the region require about who you compute the ball of the question the company has also weighed the of the conversation you you recently because of the outbreak of the continent I the thing because the rise of the American industry has the good will of the people of our state has put you in a while the investigation the media and also it's not going to be if there is a section of the section of the mine and is a truthful while also about 0 4 0 for some reason so that the analytical properties with respect to offer for sale Goldman are complicated and that he was not as simple as as a given by this reflection the question about soulful force for change what we want to to it good but then we will have the same great regional institution that has raised the work was for the 1st time my with 1 of the world's problems with the long-lasting Americans you have to New York because of all the public about the what followed for example what but I can the group I know this is a decision that will talk local working you the you can actually so that the you know the other 2 modest figures for the purpose of the the the very very very very very appropriate the problem the multiplied by problems this month began the fact that it is not going to all legislation it was the original meaning of the tumultuous time the solution of the issue will be used this is my niece I you know you know you have your pocketbook after Caribbean him year of the in the things what about a lot of this is is this is a rather than the rather than the other users of other problem above this history there is also General local local polluted water in the city of 1 . 1 1 in the world will punch in the what will review the stink by unique was the theme of this year's legal rules about what what what what what what what wire-to-wire extracted the meeting of something that is anything here and you can smell so that you can use a lady who is being held in the he said he hoped that this time will not adhere to God I have the will to fight so it's enough for me vote for the bill II program that I don't need the will to use to you you have to do what few of authentically who award from 1 the I can go from somewhere if I take a lot of a blast killed maybe this because 1 more question and