Hopping-parameter expansion and the Schwinger model with Wilson fermions

Luo, Xiang-Qian

doi:10.1007/bf01554477

Cited by 7 publications

(3 citation statements)

References 38 publications

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“…Therefore, the fermion condensate ψ ψ f ree is non-vanishing and should be subtracted in a way described in Refs. [22,35,36,39]:…”

Section: (34)mentioning

confidence: 99%

Improved lattice QCD with quarks: The two-dimensional case

Luo²,

Zh³

et al. 1999

Phys. Rev. D

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QCD in two dimensions is investigated using the improved fermionic lattice Hamiltonian proposed by Luo, Chen, Xu, and Jiang. We show that the improved theory leads to a significant reduction of the finite lattice spacing errors. The quark condensate and the mass of lightest quark and anti-quark bound state in the strong coupling phase (different from t'Hooft phase) are computed. We find agreement between our results and the analytical ones in the continuum.

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“…Therefore, the fermion condensate ψ ψ f ree is non-vanishing and should be subtracted in a way described in Refs. [22,35,36,39]:…”

Section: (34)mentioning

confidence: 99%

Improved lattice QCD with quarks: The two-dimensional case

Luo²,

Zh³

et al. 1999

Phys. Rev. D

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“…Wilson's approach to lattice fermions [1] has been extensively used in hadron spectrum calculations as well as in QCD at finite temperature. It avoids the species doubling and preserves the flavor symmetry, but it explicitly breaks the chiral symmetry [1,[13][14][15][16][17][18], one of the most important symmetries of the original theory. Non-perturbative fine-tuning of the bare fermion mass has to be done, in order to define the chiral limit [19,20].…”

Section: Introductionmentioning

confidence: 99%

Hamiltonian lattice quantum chromodynamics at finite density with Wilson fermions

Fang

Luo

2004

Phys. Rev. D

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Quantum chromodynamics ͑QCD͒ at sufficiently high density is expected to undergo a chiral phase transition. Understanding such a transition is of particular importance for neutron star or quark star physics. In Lagrangian SU͑3͒ lattice gauge theory, the standard approach breaks down at large chemical potential , due to the complex action problem. The Hamiltonian formulation of lattice QCD does not encounter such a problem. In a previous work, we developed a Hamiltonian approach at finite chemical potential and obtained reasonable results in the strong-coupling regime. In this paper, we extend the previous work to Wilson fermions. We study the chiral behavior and calculate the vacuum energy, chiral condensate, and quark number density, as well as the masses of light hadrons. There is a first-order chiral phase transition at zero temperature.

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“…The central idea is to first perform a hopping expansion of the fermion determinant (see e.g. [13] for an introduction and [14] for an application to the Schwinger model). The hopping expansion essentially gives a loop representation for the free energy of fermions in an external field.…”

Section: Introductionmentioning

confidence: 99%

The lattice Schwinger model as a discrete sum of filled Wilson loops

Gattringer¹

1999

Nuclear Physics B

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Using techniques from hopping expansion we identically map the lattice Schwinger model with Wilson fermions to a model of oriented loops on the lattice. This is done by first computing the explicit form of the fermion determinant in the external field. Subsequent integration of the gauge fields renders a sum over all loop configurations with simple Gaussian weights depending on the number of plaquettes enclosed by the loops. In our new representation vacuum expectation values of local fermionic operators (scalars, vectors) can be computed by simply counting the loop flow through the sites (links) supporting the scalars (vectors). The strong coupling limit, possible applications of our methods to 4-D models and the introduction of a chemical potential are discussed.Comment: Revised version, to appear in Nucl. Phys. B. More technical details, Comment on chemical potential shortened, references adde

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Hopping-parameter expansion and the Schwinger model with Wilson fermions

Cited by 7 publications

References 38 publications

Improved lattice QCD with quarks: The two-dimensional case

Improved lattice QCD with quarks: The two-dimensional case

Hamiltonian lattice quantum chromodynamics at finite density with Wilson fermions

The lattice Schwinger model as a discrete sum of filled Wilson loops

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