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We introduce the chemical potential in a system of massless fermions in a bag by impossing boundary conditions in the Euclidean time direction. We express the fermionic mean number in terms of a functional trace involving the Green's…

High Energy Physics - Theory · Physics 2009-10-30 M. De Francia , H. Falomir , M. Loewe

We introduce the chemical potential in a system of two-dimensional massless fermions, confined to a finite region, by imposing twisted boundary conditions in the Euclidean time direction. We explore in this simple model the application of…

High Energy Physics - Theory · Physics 2008-11-26 M. De Francia , H. Falomir , M. Loewe , E. M. Santangelo

We propose a reduced form of spectral boundary conditions for holding fermions in the bag in a chiral invariant way. Our boundary conditions do not depend on time and allow Hamiltonian treatment of the system. They are suited for studies of…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Abrikosov

We consider the 2+1 dimensional massive Thirring model with one flavor at finite density. Two numerical methods, fermion bag approach and complex Langevin dynamics, are used to calculate the chiral condensate and fermion density of this…

High Energy Physics - Lattice · Physics 2016-12-07 Daming Li

We study the finite temperature free energy and fermion number for Dirac fields in a one-dimensional spatial segment, under local boundary conditions compatible with the presence of a spectral asymmetry. We discuss in detail the…

High Energy Physics - Theory · Physics 2009-11-11 C. G. Beneventano , E. M. Santangelo

We compute vacuum expectation values of products of fermion bilinears for two-dimensional Quantum Chromodynamics at finite flavored fermion densities. We introduce the chemical potential as an external charge distribution within the…

High Energy Physics - Theory · Physics 2009-10-30 Hugo R. Christiansen , Fidel A. Schaposnik

The $N_f$-flavour Schwinger Model on a finite space $0\leq x^1\leq L$ and subject to bag-type boundary-conditions at $x^1=0$ und $x^1=L$ is solved at finite temperature $T=1/\beta$. The boundary conditions depend on a real parameter…

High Energy Physics - Theory · Physics 2016-09-06 Stephan Dürr , Andreas Wipf

We investigate multi-flavour gauge theories confined in $d\es 2n$-dimensional Euclidean bags. The boundary conditions for the 'quarks' break the axial flavour symmetry and depend on a parameter $\theta$. We determine the $\theta$-dependence…

High Energy Physics - Theory · Physics 2009-10-28 A. Wipf , S. Duerr

We compute the finite temperature correction to the induced fermion number for fermions coupled to a static SU(2) chiral background, using the derivative expansion technique. At zero temperature the induced fermion number is topological,…

High Energy Physics - Theory · Physics 2009-11-07 Gerald V. Dunne , Kumar Rao

Recently a formulation of overlap fermions at finite density based on an analytic continuation of the sign function was proposed. We study this proposal by analyzing the energy and number densities for free fermions as a function of the…

High Energy Physics - Lattice · Physics 2009-04-16 Christof Gattringer , Ludovit Liptak

We study the effects of a finite quark mass in the hedgehog configuration in the two phase chiral bag model. We discuss the chiral properties, such as the fractional baryon number and the chiral Casimir energy, by using the Debye expansion…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Yasui

The Euclidian thermal Green function of the two-dimensional (2D) free massless scalar field in coordinate space is written as the real part of a complex analytic function of a variable that conformally maps the infinite strip…

High Energy Physics - Theory · Physics 2008-11-26 Leonardo Mondaini , E. C. Marino

Finite-volume modifications of the two-flavor chiral phase diagram are investigated within an effective quark-meson model in various mean-field approximations. The role of vacuum fluctuations and boundary conditions, their influence on…

High Energy Physics - Phenomenology · Physics 2016-11-14 Ana Juričić , Bernd-Jochen Schaefer

Vacuum expectation values of products of local bilinears $\bar\psi\psi$ are computed in massless $QED_2$ at finite density. It is shown that chiral condensates exhibit an oscillatory inhomogeneous behaviour depending on the chemical…

High Energy Physics - Theory · Physics 2009-10-30 H. R. Christiansen , F. A. Schaposnik

A rational expansion of the Fermi density operator is proposed. This approach allows to calculate efficiently physical properties of fermionic systems at finite temperatures without solving an eigenvalue problem. Using N evaluations of the…

Computational Physics · Physics 2009-10-30 F. Gagel

We study a recently proposed formulation of overlap fermions at finite density. In particular we compute the energy density as a function of the chemical potential and the temperature. It is shown that overlap fermions with chemical…

High Energy Physics - Lattice · Physics 2008-11-26 Christof Gattringer , Ludovit Liptak

We study a dynamical chiral bag model, in which massless fermions are confined within an impenetrable but movable bag coupled to meson fields. The self-consistent motion of the bag is obtained by solving the equations of motion exactly…

Nuclear Theory · Physics 2009-11-07 K. Colanero , M. -C. Chu

We propose a reduced form of Atiah-Patodi-Singer spectral boundary conditions for odd ($d$) dimensional spatial bag evolving in even ($d+1$) dimensional space-time. The modified boundary conditions are manifestly chirally invariant and do…

High Energy Physics - Theory · Physics 2009-11-11 A. A. Abrikosov

Two-dimensional QED with $N$ flavor fermions is solved at zero and finite temperature with arbitrary fermion masses to explore QCD physics such as chiral condensate and string tension. The problem is reduced to solving a Schr\"odinger…

High Energy Physics - Theory · Physics 2007-05-23 Y. Hosotani , R. Rodriguez , J. E. Hetrick , S. Iso

We evaluate the fermionic determinant for massless QED_2 at finite temperature, in the imaginary time formalism. By using a decoupling transformation of the fermionic fields, we show that the determinant factorizes into the usual,…

High Energy Physics - Theory · Physics 2007-05-23 C. D. Fosco , R. E. Gamboa Saravi , F. A. Schaposnik
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