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Invariance under finite conformal transformations in Minkowski space and the Wightman axioms imply strong locality (Huygens principle) and rationality of correlation functions, thus providing an extension of the concept of vertex algebra to…

Mathematical Physics · Physics 2011-07-19 Nikolay M. Nikolov , Ivan T. Todorov

Finite temperature correlation functions in integrable quantum field theories are formulated only in terms of the usual, temperature-independent form factors, and certain thermodynamic filling fractions which are determined from the…

High Energy Physics - Theory · Physics 2009-10-31 A. Leclair , G. Mussardo

Preparing quantum thermal states on a quantum computer is in general a difficult task. We provide a procedure to prepare a thermal state on a quantum computer with a logarithmic depth circuit of local quantum channels assuming that the…

Quantum Physics · Physics 2019-02-13 Fernando G. S. L. Brandao , Michael J. Kastoryano

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

Conformal Field Theories (CFTs) are special classes of quantum field theories that find applications ranging from critical phenomena to theories of quantum gravity via holography. Understanding thermal effects in CFTs is crucial:…

High Energy Physics - Theory · Physics 2025-08-05 Alessio Miscioscia

In this paper we study one-dimensional conformal field theory at finite temperature dual to the two-dimensional anti-de Sitter spacetime in the Rindler coordinates. We show that conformal symmetry for thermal two-point functions manifests…

High Energy Physics - Theory · Physics 2016-11-04 Satoshi Ohya

We consider the finite-temperature frequency and momentum dependent two-point functions of local operators in integrable quantum field theories. We focus on the case where the zero temperature correlation function is dominated by a…

Strongly Correlated Electrons · Physics 2015-05-13 F. H. L. Essler , R. M. Konik

We derive new closed form expressions for the partition functions of free conformally-coupled scalars on $S^{2D-1}\times S^1$ which resum the exact high-temperature expansion. The derivation relies on an identification of the partition…

High Energy Physics - Theory · Physics 2024-11-26 Yang Lei , Sam van Leuven

Can space-time symmetries such as Lorentz, dilatation, or conformal symmetry be recovered at infinite temperature? To address this question, we study correlation functions of generalized free conformal field theories (a.k.a free holographic…

High Energy Physics - Theory · Physics 2024-03-22 Yu Nakayama

The partition function of a relativistic invariant quantum field theory is expressed by its vacuum energy calculated on a spatial manifold with one dimension compactified to a 1-sphere $S^1 (\beta)$, whose circumference $\beta$ represents…

High Energy Physics - Theory · Physics 2016-08-31 Hugo Reinhardt

Rationality of the Wightman functions is proven to follow from energy positivity, locality and a natural condition of global conformal invariance (GCI) in any number D of space-time dimensions. The GCI condition allows to treat correlation…

High Energy Physics - Theory · Physics 2007-05-23 Nikolay M. Nikolov , Ivan T. Todorov

We present a new approach to the static finite temperature correlation functions of the Heisenberg chain based on functional equations. An inhomogeneous generalization of the n-site density operator is considered. The lattice path integral…

Statistical Mechanics · Physics 2012-08-09 Britta Aufgebauer , Andreas Klümper

We present a finite-temperature extension of the retarded cumulant Green's function for calculations of exited-state and thermodynamic properties of electronic systems. The method incorporates a cumulant to leading order in the screened…

Strongly Correlated Electrons · Physics 2017-11-01 J. J. Kas , J. J. Rehr

We study the form factors of local operators of integrable QFT's between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov's form factor…

High Energy Physics - Theory · Physics 2019-01-23 Axel Cortés Cubero , Miłosz Panfil

We consider the one-dimensional delta-interacting electron gas in the case of infinite repulsion. We use determinant representations to study the long time, large distance asymptotics of correlation functions of local fields in the gas…

Condensed Matter · Physics 2009-10-31 F. Göhmann , A. G. Izergin , V. E. Korepin , A. G. Pronko

At the very early Universe the matter fields are described by the GUT models in curved space-time. At high energies these fields are asymptotically free and conformally coupled to external metric. The only possible quantum effect is the…

High Energy Physics - Theory · Physics 2009-10-28 Guido Cognola , Ilya L. Shapiro

In this work we outline the general analytic characteristics satisfied by scalar correlation functions at finite temperature in local quantum field theory. We demonstrate that the locality of the fields in particular imposes significant…

High Energy Physics - Theory · Physics 2022-09-14 Peter Lowdon

The generators of radial conformal symmetries in Minkowski space-time can be put in correspondence with generators of time evolution in conformal quantum mechanics. Within this correspondence we show that in conformal quantum mechanics the…

High Energy Physics - Theory · Physics 2024-05-07 Michele Arzano , Alessandra D'Alise , Domenico Frattulillo

Thermal correlation functions and the associated effective statistical potential are computed in two- and three-dimensional non-commutative space using an operator formulation that makes no reference to a star product. The corresponding…

High Energy Physics - Theory · Physics 2015-06-16 Yendrembam Chaoba Devi , Kumar Jang Bahadur Ghosh , Biswajit Chakraborty , Frederik Scholtz

We study the long time behaviour of local observables following a quantum quench in 1+1 dimensional conformal field theories possessing additional conserved charges besides the energy. We show that the expectation value of an arbitrary…

High Energy Physics - Theory · Physics 2015-09-02 Gautam Mandal , Ritam Sinha , Nilakash Sorokhaibam
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