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Related papers: The SU(n) invariant massive Thirring model with bo…

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We consider massive half-integer higher spin fields coupled to an external constant electromagnetic field in flat space of an arbitrary dimension and construct a gauge invariant Lagrangian in the linear approximation in the external field.…

High Energy Physics - Theory · Physics 2015-05-05 I. L. Buchbinder , V. A. Krykhtin , M. Tsulaia

This work is the second installment of a series on the loop-string-hadron (LSH) approach to SU(3) lattice Yang-Mills theory. Here, we present the infinite-dimensional matrix representation for arbitrary gauge-invariant operators at a…

High Energy Physics - Lattice · Physics 2026-03-09 Saurabh V. Kadam , Aahiri Naskar , Indrakshi Raychowdhury , Jesse R. Stryker

The theory of a massless two-dimensional scalar field with a periodic boundary interaction is considered. At a critical value of the period this system defines a conformal field theory and can be re-expressed in terms of free fermions,…

High Energy Physics - Theory · Physics 2009-10-09 J. Polchinski , L. Thorlacius

We revisit the reduction of type II supergravity on SU(3) structure manifolds, conjectured to lead to gauged N=2 supergravity in 4 dimensions. The reduction proceeds by expanding the invariant 2- and 3-forms of the SU(3) structure as well…

High Energy Physics - Theory · Physics 2010-10-27 Amir-Kian Kashani-Poor , Ruben Minasian

We extend a recent work by Mussardo and Penati on integrable quantum field theories with a single stable particle and an infinite number of unstable resonance states, including the presence of a boundary. The corresponding scattering and…

High Energy Physics - Theory · Physics 2009-11-07 P. Mosconi , G. Mussardo , V. Riva

We investigate the high energy behavior of the SU(N) chiral Gross-Neveu model in 1 + 1 dimensions. The model is integrable and matrix elements of several local operators (form factors) are known exactly. The form factors show rapidity space…

High Energy Physics - Theory · Physics 2021-09-21 Hrachya M. Babujian , Angela Foerster , Michael Karowski

A two-parametric family of integrable models (the SS model) that contains as particular cases several well known integrable quantum field theories is considered. After the quantum group restriction it describes a wide class of integrable…

High Energy Physics - Theory · Physics 2009-11-10 V. A. Fateev , M. Lashkevich

We study the UV dynamics of $\mu T \bar T$ deformed conformal field theories formulated as a deformation of generating functions. We explore the issue of non-perturbative completion of the $\mu$ expansion by deriving an integral expression…

High Energy Physics - Theory · Physics 2018-12-26 William Cottrell , Akikazu Hashimoto

The possibility of the application of the free field representation developed by Lukyanov for massive integrable models is investigated in the context of the O(3) sigma model. We use the bootstrap fusion procedure to construct a free field…

High Energy Physics - Theory · Physics 2016-09-06 Zala'n Horva'th , Ga'bor Taka'cs

In this paper we study the large N limit of the $O(N)$-invariant linear sigma model, which is a vector-valued generalization of the $\Phi^4$ quantum field theory, on the three dimensional torus. We study the problem via its stochastic…

Probability · Mathematics 2022-06-29 Hao Shen , Rongchan Zhu , Xiangchan Zhu

This paper determines the zero-temperature equation of state for the massive Thirring / sine-Gordon model. This demonstrates recently derived model-independent upper and lower bounds on the zero-temperature equation of state with fixed…

Nuclear Theory · Physics 2026-05-11 Eric Oevermann , Thomas D. Cohen

In this paper, we are concerned with integrable semi- and fully discrete analogues of the massive Thirring model in light core coordinates. By using the Hirota's bilinear approach and the KP reduction method, we propose both the semi- and…

Exactly Solvable and Integrable Systems · Physics 2025-07-15 Junchao Chen , Bao-Feng Feng

We present a simple group representation analysis of massive, and particularly ``partially massless'', fields of arbitrary spin in de Sitter spaces of any dimension. The method uses bulk to boundary propagators to relate these fields to…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron

The integrability of the one-dimensional long range supersymmetric t-J model has previously been established for both open systems and those closed by periodic boundary conditions through explicit construction of its integrals of motion.…

solv-int · Physics 2016-09-08 J. T. Liu , D. F. Wang

In this work, we study a gauge invariant local non-polynomial composite spinor field in the fundamental representation in order to establish its renormalizability. Similar studies were already done in the case of pure Yang-Mills theories…

High Energy Physics - Theory · Physics 2021-07-27 M. A. L. Capri , S. P. Sorella , R. C. Terin

We investigate the SU(N) Principal Chiral Model on a half-line with a particular set of boundary conditions (BCs). In previous work these BCs have been shown to correspond to boundary scattering matrices (K-matrices) which are…

High Energy Physics - Theory · Physics 2010-04-05 B. J. Short

A free field representation of the Zamolodchikov-Faddeev algebra of the SU(N)xSU(N) Principal Chiral Field model is constructed, and used to derive an integral representation for form factors of a multi-parameter family of exponential…

High Energy Physics - Theory · Physics 2017-09-13 Sergey Frolov

We construct the frame-like gauge-invariant Lagrangian formulation for massive fermionic arbitrary spin fields in three-dimensional $AdS$ space. The Lagrangian and complete set of gauge transformations are obtained. We also develop the…

High Energy Physics - Theory · Physics 2015-06-22 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We investigate the inverse scattering problem for the massive Thirring model, focusing particularly on cases where the transmission coefficient exhibits $N$ pairs of higher-order poles. Our methodology involves transforming initial data…

Exactly Solvable and Integrable Systems · Physics 2024-11-28 Dongli Luan , Bo Xue , Huan Liu

The explicit, near the origin, form of the ground state of the SU(2) supermembrane matrix model is studied. We evaluate the 2nd order terms of the Taylor expansion of the wave-function, which together with the 0th and the 1st order terms…

High Energy Physics - Theory · Physics 2012-12-20 Yoji Michishita , Maciej Trzetrzelewski
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