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We study two-color QCD with two flavors of Wilson fermion as a function of quark chemical potential mu and temperature T, for two different lattice spacings and two different quark masses. We find that the quarkyonic region, where the…

High Energy Physics - Lattice · Physics 2020-04-15 Tamer Boz , Pietro Giudice , Simon Hands , Jon-Ivar Skullerud

We describe non-relativistic fermions on the lattice (Hubbard model) in the canonical formulation using transfer matrices in fixed fermion number sectors such that the partition function becomes fully factorized in time. By analytically…

High Energy Physics - Lattice · Physics 2019-12-20 Sebastian Burri , Urs Wenger

In this letter the fractional fermion number of thick domain walls is computed. The analysis is achieved by developing the heat kernel expansion of the spectral eta functon of the Dirac Hamiltonian governing the fermionic fluctuations…

High Energy Physics - Theory · Physics 2019-09-16 J. Mateos Guilarte , Dmitri Vassilevich

The temperature dependence of the order parameter of the Schwinger model is calculated in the euclidean functional integral approach. For that we solve the model on a finite torus and let the spatial extension tend to infinity at the end of…

High Energy Physics - Theory · Physics 2011-02-09 Ivo Sachs , Andreas Wipf

The Schwinger model (QED_2) with N flavors of massive fermions on a circle of circumference L, or equivalently at finite temperature T, is reduced to a quantum mechanical system of N-1 degrees of freedom. With degenerate fermion masses (m)…

High Energy Physics - Theory · Physics 2009-10-28 J. E. Hetrick , Y. Hosotani , S. Iso

We present a new approach to some four-fermion lattice field theories which we call the generalized fermion bag approach. The basic idea is to identify unpaired fermionic degrees of freedom that cause sign problems and collect them in a…

High Energy Physics - Lattice · Physics 2011-12-01 Shailesh Chandrasekharan , Anyi Li

We employ the linear sigma model to study the chiral dynamics of two flavors of quarks at finite temperature and density. Our calculations include thermal fluctuations of both the bosonic and fermionic fields. In particular, we determine…

Nuclear Theory · Physics 2009-11-18 J. I. Kapusta , E. S. Bowman

The recently proposed fermion bag approach is a powerful technique to solve some four-fermion lattice field theories. Due to the existence of a duality between strong and weak couplings, the approach leads to efficient Monte Carlo…

High Energy Physics - Lattice · Physics 2012-04-10 Shailesh Chandrasekharan , Anyi Li

We propose a new approach to the fermion sign problem in systems where there is a coupling $U$ such that when it is infinite the fermions are paired into bosons and there is no fermion permutation sign to worry about. We argue that as $U$…

High Energy Physics - Lattice · Physics 2014-11-20 Shailesh Chandrasekharan

Local supersymmetry leads to boundary conditions for fermionic fields in one-loop quantum cosmology involving the Euclidean normal to the boundary and a pair of independent spinor fields. This paper studies the corresponding classical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giampiero Esposito , Hugo A. Morales-Tecotl , Giuseppe Pollifrone

Lattice four-fermion models containing $N$ flavors of staggered fermions, that are invariant under $Z_2$ and U(1) chiral symmetries, are known to suffer from sign problems when formulated using the auxiliary field approach. Although these…

High Energy Physics - Lattice · Physics 2013-05-30 Shailesh Chandrasekharan , Anyi Li

We consider the thermodynamics of chiral models in the mean-field approximation and discuss the relevance of the (frequently omitted) fermion vacuum loop. Within the chiral quark-meson model and its Polyakov loop extended version, we show…

High Energy Physics - Phenomenology · Physics 2014-11-21 V. Skokov , B. Friman , E. Nakano , K. Redlich , B. -J. Schaefer

Partition functions of two different matrix models for QCD with chemical potential are computed for an arbitrary number of quark and complex conjugate anti-quark flavors. In the large-N limit of weak nonhermiticity complete agreement is…

High Energy Physics - Theory · Physics 2010-04-05 G. Akemann , Y. V. Fyodorov , G. Vernizzi

In a recent paper we pointed out the presence of extra fermionic degrees of freedom in a chiral gauge theory based on Connes Noncommutative Geometry. Here we propose a mechanism which provides a high mass to these mirror states, so that…

High Energy Physics - Theory · Physics 2009-10-30 F. Lizzi , G. Mangano , G. Miele , G. Sparano

Lattice four-fermion models containing $N$ flavors of staggered fermions, that are invariant under $Z_2$ and U(1) chiral symmetries, are known to suffer from sign problems when formulated using the auxiliary field approach. Although these…

High Energy Physics - Lattice · Physics 2015-06-12 Anyi Li

The domain wall formulation of lattice fermions is expected to support accurate chiral symmetry, even at finite lattice spacing. Here we attempt to use this new fermion formulation to simulate two-flavor, finite temperature QCD near the…

High Energy Physics - Lattice · Physics 2009-10-31 P. Chen , N. Christ , G. Fleming , A. Kaehler , C. Malureanu , R. Mawhinney , G. Siegert , C. Sui , P. Vranas , L. Wu , Y. Zhestkov

We study the linear response to an external electric field of a system of fermions in a lattice at zero temperature. This allows to measure numerically the Euclidean conductivity which turns out to be compatible with an analytical…

Condensed Matter · Physics 2009-10-31 J. L. Alonso , L. A. Fernandez , V. Martin-Mayor

We study rotating thermal states of a massless quantum fermion field inside a cylinder in Minkowski space-time. Two possible boundary conditions for the fermion field on the cylinder are considered: the spectral and MIT bag boundary…

High Energy Physics - Theory · Physics 2016-01-20 Victor E. Ambrus , Elizabeth Winstanley

The chiral symmetry of QCD with two massless quark flavours gets restored in a non-analytic chiral phase transition at finite temperature and zero density. Whether this is a first-order or a second-order transition has not yet been…

High Energy Physics - Lattice · Physics 2013-11-05 Claudio Bonati , Massimo D'Elia , Philippe de Forcrand , Owe Philipsen , Francesco Sanfillippo

We study a non-relativistic fermionic retarded Green's function by making use of a fermion on the Lifshitz geometry with critical exponent z = 2. With a natural boundary condition, respecting the symmetries of the model, the resultant…

High Energy Physics - Theory · Physics 2013-05-30 Mohsen Alishahiha , M. Reza Mohammadi Mozaffar , Ali Mollabashi