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In this paper we study the simplest massive 1+1 dimensional integrable quantum field theory which can be described as a perturbation of a non-unitary minimal conformal field theory: the Lee-Yang model. We are particularly interested in the…

High Energy Physics - Theory · Physics 2015-09-07 Davide Bianchini , Olalla A. Castro-Alvaredo , Benjamin Doyon

We study non-perturbative aspects of QCD Kondo effect, which has been recently proposed for the finite density and strong magnetic field systems, using conformal field theory describing the low energy physics near the IR fixed point. We…

High Energy Physics - Phenomenology · Physics 2019-02-06 Taro Kimura , Sho Ozaki

In this paper it is shown how the generating functional for Green's functions in relativistic quantum field theory and in thermal field theory can be evaluated in terms of a standard quantum mechanical path integral. With this calculational…

High Energy Physics - Theory · Physics 2011-07-19 D. G. C. McKeon , A. Rebhan

We derive finite temperature expansions for relativistic fermion systems in the presence of background magnetic fields, and with nonzero chemical potential. We use the imaginary-time formalism for the finite temperature effects, the…

High Energy Physics - Theory · Physics 2009-10-30 Daniel Cangemi , Gerald Dunne

A computational scheme is developed to determine the response of a quantum field theory (QFT) with a factorized scattering operator under a variation of the Unruh temperature. To this end a new family of integrable systems is introduced,…

High Energy Physics - Theory · Physics 2009-10-31 M. R. Niedermaier

At high temperature the infrared modes of a weakly coupled quantum field theory can be treated nonperturbatively in real time using the classical field approximation. We use this to introduce a nonperturbative approach to the calculation of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gert Aarts

We study conformal Ward-Takahashi identities for two-point functions in $d(\geq3)$-dimensional finite-temperature conformal field theory. We first show that the conformal Ward-Takahashi identities can be translated into the intertwining…

High Energy Physics - Theory · Physics 2019-07-29 Satoshi Ohya

We present a pedagogical exposition of some applications of functional methods in quantum field theory: we use heat-kernel and zeta-function techniques to study the Casimir effect, the pair production in strong electric fields, quantum…

High Energy Physics - Theory · Physics 2015-05-19 Pablo Pisani

Although partition temperature derived using the Darwin-Fowler method is exact for simple scenarios, the derivation for complex systems might reside on specific approximations whose viability is not ensured if the thermodynamic limit is not…

Nuclear Theory · Physics 2023-11-09 Wei-Liang Qian , Kai Lin , Rui-Hong Yue , Yogiro Hama , Takeshi Kodama

Scalar fields at finite temperature are considered in four dimensional ultrastatic curved spacetime. One loop nonlocal effective action at finite temperature is found up to the second order in curvature expansion. This action is explicitly…

High Energy Physics - Theory · Physics 2010-04-06 Yuri Gusev , Andrei Zelnikov

We present a detailed study of the finite temperature dynamical properties of the quantum Potts model in one dimension.Quasiparticle excitations in this model have internal quantum numbers, and their scattering matrix {\gf deep} in the…

Strongly Correlated Electrons · Physics 2009-11-11 Akos Rapp , Gergely Zarand

We use the partition functions on S^1 x S^n of various conformal field theories in four and six dimensions in the limit of vanishing coupling to study the high temperature thermodynamics. Certain modular properties exhibited by the…

High Energy Physics - Theory · Physics 2010-02-03 David Kutasov , Finn Larsen

In these notes we review some properties of Statistical Quantum Field Theory at equilibrium, i.e Quantum Field Theory at finite temperature. We explain the relation between finite temperature quantum field theory in (d,1) dimensions and…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Zinn-Justin

We introduce a novel method to bootstrap crossing equations in Conformal Field Theory and apply it to finite temperature theories on $S^1\times \mathbb{R}^{d-1}$. The proposed approach does not rely on positivity constraints and does not…

High Energy Physics - Theory · Physics 2025-12-01 V. Niarchos , C. Papageorgakis , A. Stratoudakis , M. Woolley

We present calculations of the complex-temperature zeros of the partition functions for 2D Ising models on the square lattice with spin $s=1$, 3/2, and 2. These give insight into complex-temperature phase diagrams of these models in the…

High Energy Physics - Lattice · Physics 2009-10-28 Victor Matveev , Robert Shrock

We investigate the thermal properties of $\mathcal{PT}$-symmetric scalar field theories with purely imaginary couplings. The free energy governs the asymptotic density of states, providing an effective measure of the number of degrees of…

High Energy Physics - Theory · Physics 2026-04-10 Oleksandr Diatlyk , Andrei Katsevich , Fedor K. Popov

We study a simplified nonlinear thermoelasticity model on two- and three-dimensional tori. A novel functional involving the Fisher information associated with temperature is introduced, extending the previous one-dimensional approach from…

Analysis of PDEs · Mathematics 2025-09-03 Piotr Michał Bies , Tomasz Cieślak , Mario Fuest , Johannes Lankeit , Boris Muha , Srdan Trifunović

It is shown that the operator algebraic setting of local quantum physics leads to a uniqueness proof for the inverse scattering problem. The important mathematical tool is the thermal KMS aspect of wedge-localized operator algebras and its…

High Energy Physics - Theory · Physics 2011-07-19 Bert Schroer

In this paper, we propose a new representation of the minimal form factors in integrable quantum field theories. These are solutions of the two-particle form factor equations, which have no poles on the physical sheet. Their expression…

High Energy Physics - Theory · Physics 2024-01-12 Olalla A. Castro-Alvaredo , Stefano Negro , István M. Szécsényi

In this work we investigate properties of a supersymmetric extension of the quantum spherical model from an off-shell formulation directly in the superspace. This is convenient to safely handle the constraint structure of the model in a way…

Statistical Mechanics · Physics 2018-12-21 L. G. dos Santos , L. V. T. Tavares , P. F. Bienzobaz , Pedro R. S. Gomes