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In a configuration space whose boundary can be identified with a subset of its interior, a boundary condition can relate the behaviour of a function on the boundary and in the interior. Additionally, boundary values can appear as additive…

Spectral Theory · Mathematics 2025-06-19 Tim Binz , Jonas Lampart

We initiate an approach to constraining conformal field theory (CFT) data at finite temperature using methods inspired by the conformal bootstrap for vacuum correlation functions. We focus on thermal one- and two-point functions of local…

High Energy Physics - Theory · Physics 2018-11-14 Luca Iliesiu , Murat Koloğlu , Raghu Mahajan , Eric Perlmutter , David Simmons-Duffin

Recently, the spectral expansion of finite temperature two-point functions in integrable quantum field theories was constructed using a finite volume regularization technique and the application of multidimensional residues. In the present…

High Energy Physics - Theory · Physics 2015-06-11 István M. Szécsényi , Gábor Takács

The boundary string field theory approach is used to evaluate the one-loop tachyon potential. We first discuss the boundary condition at the two boundaries on annulus diagram and then the exact form of corrected potentials at zero and high…

High Energy Physics - Theory · Physics 2007-05-23 Wung-Hong Huang

We consider the one-point functions of bulk and boundary fields in the scaling Lee-Yang model for various combinations of bulk and boundary perturbations. The one-point functions of the bulk fields are analysed using the truncated conformal…

High Energy Physics - Theory · Physics 2009-10-31 P. Dorey , M. Pillin , R. Tateo , G. M. T. Watts

We consider the expectation value of a local operator on a strip with non-trivial boundaries in 1+1 dimensional massive integrable QFT. Using finite volume regularisation in the crossed channel and extending the boundary state formalism to…

High Energy Physics - Theory · Physics 2011-07-28 M. Kormos , B. Pozsgay

We use renormalization group methods to study composite operators existing at a boundary of an interacting conformal field theory. In particular we relate the data on boundary operators to short-distance (near-boundary) divergences of bulk…

High Energy Physics - Theory · Physics 2020-04-22 Vladimír Procházka , Alexander Söderberg

The sine-Gordon model serves as a foundational $1+1$-dimensional quantum field theory with numerous applications in condensed matter physics. Despite its integrability, characterizing its finite-temperature behavior remains a significant…

Statistical Mechanics · Physics 2026-04-15 M. Tóth , J. H. Pixley , G. Takács , M. Kormos

We consider finite temperature correlation functions in massive integrable Quantum Field Theory. Using a regularization by putting the system in finite volume, we develop a novel approach (based on multi-dimensional residues) to the form…

High Energy Physics - Theory · Physics 2011-03-28 B. Pozsgay , G. Takacs

A systematic method for the computation of finite temperature ($T$) crossover functions near quantum critical points close to, or above, their upper-critical dimension is devised. We describe the physics of the various regions in the $T$…

Condensed Matter · Physics 2008-12-18 Subir Sachdev

We consider the problems of calculating the dynamical order parameter two-point function at finite temperatures and the one-point function after a quantum quench in the transverse field Ising chain. Both of these can be expressed in terms…

Statistical Mechanics · Physics 2020-10-30 Etienne Granet , Maurizio Fagotti , Fabian H. L. Essler

The analytic continuation to an imaginary velocity of the canonical partition function of a thermal system expressed in a moving frame has a natural implementation in the Euclidean path-integral formulation in terms of shifted boundary…

High Energy Physics - Lattice · Physics 2013-10-30 Leonardo Giusti , Harvey B. Meyer

Thermal duality, which relates the physics of closed strings at temperature T to the physics at the inverse temperature 1/T, is one of the most intriguing features of string thermodynamics. Unfortunately, the classical definitions of…

High Energy Physics - Theory · Physics 2009-11-10 Keith R. Dienes , Michael Lennek

We develop a functional model for operators arising in the study of boundary-value problems of materials science and mathematical physics. We then provide explicit formulae for the resolvents of the associated extensions of symmetric…

Analysis of PDEs · Mathematics 2022-05-10 Kirill D. Cherednichenko , Alexander V. Kiselev , Luis O. Silva

This is a short review on the thermal, spectral representation in the real-time version of the finite temperature quantum field theory. After presenting a clear derivation of the spectral representation, we discuss the properties of its…

High Energy Physics - Theory · Physics 2007-05-23 Sourav Sarkar , B. K. Patra , V. J. Menon , S. Mallik

The excitation spectrum of specific conformal field theories (CFT) with central charge $c=1$ can be described in terms of quasi-particles with charges $Q=-p,+1$ and fractional statistics properties. Using the language of Jack polynomials,…

Strongly Correlated Electrons · Physics 2008-11-26 S. Peysson , K. Schoutens

We calculate the finite temperature three-point correlation function for primary fields in a 2D conformal field theory in momentum space. This result has applications to any strongly coupled field theory with a 2D CFT dual, as well as to…

High Energy Physics - Theory · Physics 2015-06-22 Melanie Becker , Yaniel Cabrera , Ning Su

We study $n$-point functions at finite temperature in the closed time path formalism. With the help of two basic column vectors and their dual partners we derive a compact decomposition of the time-ordered $n$-point functions with $2^n$…

High Energy Physics - Theory · Physics 2008-11-26 Defu Hou , Enke Wang , Ulrich Heinz

This thesis describes several topics related to finite temperature studies of strongly correlated systems: finite temperature density matrix embedding theory (FT-DMET), finite temperature metal-insulator transition, and quantum algorithms…

Strongly Correlated Electrons · Physics 2023-03-01 Chong Sun

In this article, we present emerging fields of quantum chemistry at finite temperature. We discuss its recent developments on both experimental and theoretical fronts. First, we describe several experimental investigations related to the…

Soft Condensed Matter · Physics 2007-05-23 Liqiang Wei