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We investigate the massive Sine-Gordon model in the finite ultraviolet regime on the two-dimensional Minkowski spacetime $(\mathbb{R}^2,\eta)$ with an additive Gaussian white noise. In particular we construct the expectation value and the…

Mathematical Physics · Physics 2023-11-06 Alberto Bonicelli , Claudio Dappiaggi , Paolo Rinaldi

We study the finite-temperature expectation values of exponential fields in the sine-Gordon model. Using finite-volume regularization, we give a low-temperature expansion of such quantities in terms of the connected diagonal matrix…

Strongly Correlated Electrons · Physics 2015-06-18 Francesco Buccheri , Gabor Takacs

Quantum theory of conformal factor coupled with matter fields is investigated. The more simple case of the purely classical scalar matter is considered. It is calculated the conformal factor contribution to the effective potential of scalar…

High Energy Physics - Theory · Physics 2009-10-28 I. L. Shapiro

We compute the fundamental correlation functions in two-dimensional rational conformal field theory, from which all other correlators can be obtained by sewing: the correlators of three bulk fields on the sphere, one bulk and one boundary…

High Energy Physics - Theory · Physics 2010-11-19 Jürgen Fuchs , Ingo Runkel , Christoph Schweigert

We calculate normalization factors and reflection amplitudes in the W-invariant conformal quantum field theories. Using these CFT data we derive vacuum expectation values of exponential fields in affine Toda theories and related perturbed…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Fateev

We propose a new approach to compute correlators of quantum fields in de Sitter space. It is based on nonequilibrium field theory techniques, and exploits de Sitter symmetries so as to partially reduce the number of independent variables of…

High Energy Physics - Theory · Physics 2015-06-12 R. Parentani , J. Serreau

We present a new tensor network algorithm for calculating the partition function of interacting quantum field theories in 2 dimensions. It is based on the Tensor Renormalization Group (TRG) protocol, adapted to operate entirely at the level…

Quantum Physics · Physics 2021-11-24 Manuel Campos , German Sierra , Esperanza Lopez

We consider dynamical spin-spin correlation functions in the one dimensional repulsive half-filled Hubbard model. We propose an exact expression for the two spinon formfactor of spin operators. We use this to derive the two spinon…

Strongly Correlated Electrons · Physics 2009-10-31 Fabian H. L. Essler , Vladimir E. Korepin

We analyse the correlation functions of $\mathrm{U}(N)$-tensor models (or complex tensor models), which turn out to be classified by boundary graphs, and use the Ward-Takahashi identity and the graph calculus developed in [Commun. Math.…

Mathematical Physics · Physics 2021-10-04 Romain Pascalie , Carlos I. Pérez-Sánchez , Raimar Wulkenhaar

We calculate the expectation values of the stress-energy bitensor defined at two different spacetime points $x, x'$ of a massless, minimally coupled scalar field with respect to a quantum state at finite temperature $T$ in a flat…

High Energy Physics - Theory · Physics 2016-03-23 H. T. Cho , B. L. Hu

We consider the scaling Lee-Yang model. It corresponds to the unique perturbation of the minimal CFT model M(2,5). This is not a unitary model. We used known expression for form factors in order to obtain a closed expression for a…

High Energy Physics - Theory · Physics 2009-10-31 Vladimir E. Korepin , Takeshi Oota

We study the time-dependent tachyon backgrounds of the string collective field theory using the formalism of the $S$-matrix generating functional. In the process we clarify the connection between two ways of calculating the $S$-matrix, the…

High Energy Physics - Theory · Physics 2013-11-13 Julian Lee

We compute the correlation functions for antiferromagnetic and d-wave superconducting fermion bilinears in a generalized mean field type approximation for the Hubbard model. For high temperature our explicit expressions show that…

Strongly Correlated Electrons · Physics 2007-05-23 Tobias Baier , Eike Bick , Christof Wetterich

All standard measures of bipartite entanglement in one-dimensional quantum field theories can be expressed in terms of correlators of branch point twist fields, here denoted by $\mathcal{T}$ and $\mathcal{T}^\dagger$. These are symmetry…

High Energy Physics - Theory · Physics 2023-03-15 Olalla A. Castro-Alvaredo , Michele Mazzoni

The calculation of resonance form factors in effective field theory as well as on the lattice is a highly challenging task. In a recent paper, we proposed a novel method based on the introduction of a background field and the…

High Energy Physics - Lattice · Physics 2026-04-21 Ulf-G. Meißner , Akaki Rusetsky , Ajay S. Sakthivasan , Gerrit Schierholz , Jia-Jun Wu

We calculate the deuteron electromagnetic form factors in a modified version of Weinberg's chiral effective field theory approach to the two-nucleon system. We derive renormalizable integral equations for the deuteron without partial wave…

Nuclear Theory · Physics 2015-06-18 E. Epelbaum , A. M. Gasparyan , J. Gegelia , M. R. Schindler

We give a new method for computing the correlation functions of the chiral part of the stress-tensor supermultiplet that relies on the reformulation of N=4 SYM in twistor space. It yields the correlation functions in the Born approximation…

High Energy Physics - Theory · Physics 2015-04-15 D. Chicherin , R. Doobary , B. Eden , P. Heslop , G. P. Korchemsky , L. Mason , E. Sokatchev

The form factor provides a convenient way to describe properties of topological solitons in the full quantum theory, when semiclassical concepts are not applicable. It is demonstrated that the form factor can be calculated numerically using…

High Energy Physics - Lattice · Physics 2011-01-07 Arttu Rajantie , David J. Weir

The bootstrap program for 1+1-dimensional integrable Quantum Field Theories (QFT's) is developed to a large extent for the Homogeneous sine-Gordon (HSG) models. This program can be divided into various steps, which include the computation…

High Energy Physics - Theory · Physics 2007-05-23 Olalla A. Castro-Alvaredo

We give a general construction of correlation functions in rational conformal field theory on a possibly non-orientable surface with boundary in terms of 3-dimensional topological quantum field theory. The construction applies to any…

High Energy Physics - Theory · Physics 2007-05-23 Giovanni Felder , Jürg Fröhlich , Jürgen Fuchs , Christoph Schweigert