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We present a general construction of KMS states in the framework of perturbative algebraic quantum field theory (pAQFT). Our approach may be understood as an extension of the Schwinger-Keldysh formalism. We obtain in particular the Wightman…

Mathematical Physics · Physics 2014-10-07 Klaus Fredenhagen , Falk Lindner

In this work, I consider scalar field theory with negative quartic self-interaction, corresponding to an upside-down classical potential. Despite not possessing a classically stable ground state, such potentials are known to behave properly…

High Energy Physics - Theory · Physics 2026-03-23 Paul Romatschke

We provide a description of interacting quantum fields in terms of density matrices for any occupation numbers in Fock space in a momentum basis. As a simple example, we focus on a real scalar field interacting with another real scalar…

High Energy Physics - Theory · Physics 2023-06-09 Christian Käding , Mario Pitschmann

The recent generalization of the Lowenstein-Swieca operator solution of Quantum Electrodynamics in 1+1 dimensions to finite temperature in Thermofield Dynamics is further generalized to include a non-vanishing chemical potential. The…

High Energy Physics - Theory · Physics 2011-03-17 R. L. P. G. Amaral , L. V. Belvedere , K. D. Rothe

We solve the nonequilibrium dynamics of a 3+1 dimensional theory with Dirac fermions coupled to scalars via a chirally invariant Yukawa interaction. The results are obtained from a systematic coupling expansion of the 2PI effective action…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Berges , Sz. Borsanyi , J. Serreau

We use a combination of perturbation theory and numerical techniques to study the equilibration of two interacting fields which are initially at thermal equilibrium at different temperatures. Using standard rules of quantum field theory, we…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Vaz , M. E. Carrington , R. Kobes , G. Kunstatter

Using the method of correlation dynamics we investigate the properties of a field-theory for fermions and scalar bosons coupled via a Yukawa interaction. Within this approach, which consists in an expansion of full equal-time Green…

High Energy Physics - Theory · Physics 2009-10-31 S. Juchem , W. Cassing , J. M. Haeuser

Nonlinearities in the dispersion relations associated with different interactions designs, boundary conditions and the existence of a physical cut-off scale can alter the quantum vacuum energy of a nonrelativistic system nontrivially. As a…

High Energy Physics - Theory · Physics 2024-01-08 Matthew Edmonds , Antonino Flachi , Marco Pasini

It is a well known fact that quantum fields on Minkowski spacetime are correlated for each pair of spacetime regions. In Robertson-Walker spacetimes there are spacelike separated regions with disjoint past horizons but the absence of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Mathias Trucks

In this work, we study different quantum thermodynamic functions (QTFs) of a cold atom subjected to an artificial non-Abelian uniform magnetic field and linearly coupled to a quantum heat bath through either usual coordinate-coordinate…

Quantum Gases · Physics 2017-08-03 Asam Rajesh , Malay Bandyopadhyay , A. M. Jayannavar

Using the finite-size effects the scaling dimensions and correlation functions of the main operators in continuous and lattice models of 1d spinless Bose-gas with pairwise interaction of rather general form are obtained. The long-wave…

High Energy Physics - Theory · Physics 2015-06-26 A. Mironov , A. Zabrodin

We investigate the mass dependence of the Araki-Uhlmann relative entropy between a localized coherent excitation and the vacuum state of a free scalar quantum field on the $(1+d)$-dimensional Minkowski spacetime for $d = 1, 2, 3$. In this…

High Energy Physics - Theory · Physics 2025-11-26 João G. A. Caribé , Marcelo S. Guimarães , Itzhak Roditi , Silvio P. Sorella , Arthur F. Vieira

Motivated by advances in the manipulation and detection of ultracold atoms with multiple internal degrees of freedom, we present a finite-temperature lattice Monte Carlo calculation of the density and pressure equations of state, as well as…

Quantum Gases · Physics 2017-03-07 M. D. Hoffman , A. C. Loheac , W. J. Porter , J. E. Drut

One-dimensional systems of interacting atoms are an ideal laboratory to study the Kosterlitz-Thouless phase transition. In the renormalization group picture there is essentially a two-parameter phase diagram to explore. We first present how…

Quantum Gases · Physics 2013-07-01 Thierry Jolicoeur , Evgeni Burovski , Giuliano Orso

The commutation relations of the composite fields are studied in the 3, 2 and 1 space dimensions. It is shown that the field of an atom consisting of a nucleus and an electron fields satisfies, in the space-like asymptotic limit, the…

High Energy Physics - Theory · Physics 2007-05-23 Hitoshi Ito

We study relativistic anyon field theory in 1+1 dimensions. While (2+1)-dimensional anyon fields are equivalent to boson or fermion fields coupled with the Chern-Simons gauge fields, (1+1)-dimensional anyon fields are equivalent to boson or…

High Energy Physics - Theory · Physics 2018-04-11 Arata Yamamoto

We show that the quantum solitons occurring in theories describing a complex scalar field in (1+1)-dimensions with a Z(N) symmetry may be identified with sine-Gordon quantum solitons in the phase of this field. Then using both the Euclidean…

High Energy Physics - Theory · Physics 2012-12-04 Leonardo Mondaini

We present a construction of the algebra of operators and the Hilbert space for a quantum massless field in 1+1 dimensions.

Mathematical Physics · Physics 2008-11-26 Jan Derezi{ń}ski , Krzysztof A. Meissner

The stranglehold of low temperatures on fascinating quantum phenomena in one-dimensional quantum magnets has been challenged recently by the discovery of anomalous spin transport at high temperatures. Whereas both regimes have been…

Strongly Correlated Electrons · Physics 2021-09-01 Maxime Dupont , Nicholas E. Sherman , Joel E. Moore

We consider two weakly interacting quasi-1D condensates of cold bosonic atoms. It turns out that a time-dependent variation of the tunnel-coupling between those condensates is equivalent with the spatial expansion of a one-dimensional…

Quantum Gases · Physics 2012-08-13 Clemens Neuenhahn , Florian Marquardt