Fermions in the pseudoparticle approach

Abstract

The pseudoparticle approach is a numerical technique to compute path integrals without discretizing spacetime. The basic idea is to integrate over those field configurations, which can be represented by a sum of a fixed number of localized building blocks (pseudoparticles). In a couple of previous papers we have successfully applied the pseudoparticle approach to pure SU(2) Yang-Mills theory. In this work we discuss how to incorporate fermionic fields in the pseudoparticle approach. To test our method, we compute the phase diagram of the 1+1-dimensional Gross-Neveu model in the large-N limit.

11 pages, 10 figures

References in corpus (8)

• Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors
• Revised Phase Diagram of the Gross-Neveu Model
• An SU(2) KvBLL caloron gas model and confinement
• Confinement from Merons
• Confinement from Instantons or Merons
• Classes of confining gauge field configurations
• Properties of confining gauge field configurations in the pseudoparticle approach
• Topology and confinement at T \neq 0 : calorons with non-trivial holonomy

Cited by in corpus (16)

• Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors
• Chiral density wave in nuclear matter
• Inhomogeneous condensation in effective models for QCD using the finite-mode approach
• Regulator dependence of inhomogeneous phases in the 2+1-dimensional Gross-Neveu model
• Inhomogeneous chiral condensate in the quark-meson model
• Inhomogeneous chiral condensates in three-flavor quark matter
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Lattice investigation of an inhomogeneous phase of the 2+1-dimensional Gross-Neveu model in the limit of infinitely many flavors
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$. II. Nonzero temperature and chemical potential
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$
• Adjoint string breaking in the pseudoparticle approach
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: zero temperature calibrations and numerical framework
• Exact tricritical point from next-to-leading-order stability analysis
• The adjoint potential in the pseudoparticle approach: string breaking and Casimir scaling
• Lattice investigation of the phase diagram of the 1+1 dimensional Gross-Neveu model at finite number of fermion flavors
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation