Thermal distribution functions and finite-size effects for lattice fermions

Hiroshi Matsuoka; Michael Stone

doi:10.1016/0370-2693(84)91182-1

Thermal distribution functions and finite-size effects for lattice fermions

Hiroshi Matsuoka, Michael Stone

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We perform, analytically, the sum over the finite set of Matsubara frequencies that arises in the lattice thermodynamics of a free Fermi gas. The resultant expressions provide an easy demonstration that the correction continuum expressions are obtained in the limit of small lattice spacing.

Original language	English (US)
Pages (from-to)	204-208
Number of pages	5
Journal	Physics Letters B
Volume	136
Issue number	3
DOIs	https://doi.org/10.1016/0370-2693(84)91182-1
State	Published - Mar 1 1984

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(84)91182-1

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title = "Thermal distribution functions and finite-size effects for lattice fermions",

abstract = "We perform, analytically, the sum over the finite set of Matsubara frequencies that arises in the lattice thermodynamics of a free Fermi gas. The resultant expressions provide an easy demonstration that the correction continuum expressions are obtained in the limit of small lattice spacing.",

author = "Hiroshi Matsuoka and Michael Stone",

note = "Funding Information: This work was supported by NSF grants DMR 81-17182 and by PHY 82-01948. We would like to thank J.B. Kogut and H.W. Wyld for encouragement and useful discussions.",

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AU - Stone, Michael

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PY - 1984/3/1

Y1 - 1984/3/1

N2 - We perform, analytically, the sum over the finite set of Matsubara frequencies that arises in the lattice thermodynamics of a free Fermi gas. The resultant expressions provide an easy demonstration that the correction continuum expressions are obtained in the limit of small lattice spacing.

AB - We perform, analytically, the sum over the finite set of Matsubara frequencies that arises in the lattice thermodynamics of a free Fermi gas. The resultant expressions provide an easy demonstration that the correction continuum expressions are obtained in the limit of small lattice spacing.

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Thermal distribution functions and finite-size effects for lattice fermions

Abstract

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