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Local boundary conditions for spinor fields are expressed in terms of a 1-parameter family of boundary operators, and find applications ranging from (supersymmetric) quantum cosmology to the bag model in quantum chromodynamics. The present…

High Energy Physics - Theory · Physics 2009-11-07 Giampiero Esposito , Klaus Kirsten

We investigate the finite temperature fermionic condensate and the expectation values of the charge and current densities for a massive fermion field in a spacetime background with an arbitrary number of toroidally compactified spatial…

High Energy Physics - Theory · Physics 2014-04-23 S. Bellucci , E. R. Bezerra de Mello , A. A. Saharian

We study the thermodynamics for a uniformly rotating system of chiral fermions under the uniform magnetic field. Then we obtain the mathematical expressions of some thermodynamic quantities in terms of the series with respect to the…

High Energy Physics - Theory · Physics 2022-05-31 Ren-Hong Fang

We extend the idea of fermion bags to Hamiltonian lattice field theories in the continuous time formulation. Using a class of models we argue that the temperature is a parameter that splits the fermion dynamics into small spatial regions…

High Energy Physics - Lattice · Physics 2017-12-13 Emilie Huffman , Shailesh Chandrasekharan

This paper deals with the mathematical spectral analysis and physical interpretation of a fermionic system described by a non-Hermitian Hamiltonian possessing real eigenvalues. A statistical thermodynamical description of such a system is…

We study QCD at nonzero temperature and baryon density in the framework of the analytic continuation from imaginary chemical potential. We carry out simulations of QCD with four flavor of staggered fermions, and reconstruct the phase…

High Energy Physics - Lattice · Physics 2009-11-07 M. D'Elia , M. -P. Lombardo

We address a number of issues raised by a manuscript of Klein, Toublan, and Verbaarschot (hep-ph/0405180) in which the authors introduce a random matrix model for QCD with two colors, two flavors, and fermions in the fundamental…

High Energy Physics - Phenomenology · Physics 2009-11-11 Benoit Vanderheyden , A. D. Jackson

Complex action problems coming from either a chemical potential or a topological term have been solved for several models in recent years by mapping them to so-called dual degrees of freedom. In terms of these dual variables the partition…

High Energy Physics - Lattice · Physics 2015-12-04 Christof Gattringer , Thomas Kloiber , Vasily Sazonov

We investigate the edge effects on the finite temperature fermionic condensate (FC) for a massive fermionic field in a (2+1)-dimensional conical spacetime with a magnetic flux located at the cone apex. The field obeys the bag boundary…

High Energy Physics - Theory · Physics 2019-11-27 Aram A. Saharian , Eugênio R. Bezerra de Mello , Astghik A. Saharyan

In this paper we present a study based on the use of functional techniques on the issue of insertions of massive fermionic fields in the two-dimensional massless Gauged Thirring Model. As it will be shown, the fermionic mass contributes to…

High Energy Physics - Theory · Physics 2014-08-22 R. Bufalo , B. M. Pimentel

We present a nonperturbative computation of the equation of state of polarized, attractively interacting, nonrelativistic fermions in one spatial dimension at finite temperature. We show results for the density, spin magnetization, magnetic…

Quantum Gases · Physics 2015-12-08 A. C. Loheac , J. Braun , J. E. Drut , D. Roscher

Expressions for the thermodynamic potential of a Dirac fermion gas are represented at finite temperature with the chemical potential in an ultrastatic space $R^d\times S^N$. The high- and low- temperature expansions for the thermodynamic…

High Energy Physics - Theory · Physics 2012-10-31 Kiyoshi Shiraishi

Standard lattice fermion algorithms run into the well-known sign problem at real chemical potential. In this paper we investigate the possibility of using imaginary chemical potential, and argue that it has advantages over other methods,…

High Energy Physics - Lattice · Physics 2009-07-09 M. Alford , A. Kapustin , F. Wilczek

We discuss the importance of boundary effects on fermionic matter in a rotating frame. By explicit calculations at zero temperature we show that the scalar condensate of fermion and anti-fermion cannot be modified by the rotation once the…

High Energy Physics - Phenomenology · Physics 2016-11-23 Shu Ebihara , Kenji Fukushima , Kazuya Mameda

We study the finite temperature and edge induced effects on the charge and current densities for a massive spinor field localized on a 2D conical space threaded by a magnetic flux. The field operator is constrained on a circular boundary,…

High Energy Physics - Theory · Physics 2025-04-22 A. A. Saharian , V. F. Manukyan , T. A. Petrosyan

We formulate correlation functions for a one-dimensional interacting spinless fermion model at finite temperature. By combination of a lattice path integral formulation for thermodynamics with the algebraic Bethe ansatz for fermion systems,…

Statistical Mechanics · Physics 2008-02-21 Kohei Motegi , Kazumitsu Sakai

The calculation of the density matrix for fermions and bosons in the Grand Canonical Ensemble allows an efficient way for the inclusion of fermionic and bosonic statistics at all temperatures. It is shown that in a Path Integral Formulation…

Condensed Matter · Physics 2009-10-31 M. Skorobogatiy , J. Joannopoulos

We investigate the QCD chiral phase transition at finite chemical potential $\mu$, using the renormalization group (RG) to characterize the infrared behavior of sigma models constrained by the flavor and spacetime symmetries. The results…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stephen D. H. Hsu , Myckola Schwetz

The Schwinger model with $N_f \geq 2$ flavors is a simple example for a fermionic model with zero chiral condensate Sigma (in the chiral limit). We consider numerical data for two light flavors, based on simulations with dynamical chiral…

High Energy Physics - Lattice · Physics 2020-07-14 David Landa-Marbán , Wolfgang Bietenholz , Ivan Hip

We use a functional approach to calculate the Casimir energy due to Dirac fields in interaction with thin, flat, parallel walls, which implement imperfect bag-like boundary conditions. These are simulated by the introduction of delta-like…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , E. L. Losada