Study of different lattice formulations of a Yukawa model with a real scalar field

I. Hsiu Lee; Junko Shigemitsu; Robert E. Shrock

doi:10.1016/0550-3213(90)90664-Y

Study of different lattice formulations of a Yukawa model with a real scalar field

I. Hsiu Lee
, Junko Shigemitsu
, Robert E. Shrock

Institute for Theoretical Physics

Brookhaven National Laboratory
Ohio State University

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

62 Scopus citations

Abstract

We determine the phase structure and properties of a 4D lattice model with a real scalar field interacting with staggered fermions via a local Yukawa interaction. For large bare Yukawa coupling, the phase diagram differs significantly from that for the model with a hypercubic Yukawa interaction; in particular, we find a new symmetric phase in which fermions are massive. We comment on implications for extracting regularization scheme-independent continuum physics from lattice scalar-fermion models.

Original language	English
Pages (from-to)	265-278
Number of pages	14
Journal	Nuclear Physics, Section B
Volume	334
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(90)90664-Y
State	Published - Apr 9 1990

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title = "Study of different lattice formulations of a Yukawa model with a real scalar field",

abstract = "We determine the phase structure and properties of a 4D lattice model with a real scalar field interacting with staggered fermions via a local Yukawa interaction. For large bare Yukawa coupling, the phase diagram differs significantly from that for the model with a hypercubic Yukawa interaction; in particular, we find a new symmetric phase in which fermions are massive. We comment on implications for extracting regularization scheme-independent continuum physics from lattice scalar-fermion models.",

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AU - Shigemitsu, Junko

AU - E. Shrock, Robert

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Y1 - 1990/4/9

N2 - We determine the phase structure and properties of a 4D lattice model with a real scalar field interacting with staggered fermions via a local Yukawa interaction. For large bare Yukawa coupling, the phase diagram differs significantly from that for the model with a hypercubic Yukawa interaction; in particular, we find a new symmetric phase in which fermions are massive. We comment on implications for extracting regularization scheme-independent continuum physics from lattice scalar-fermion models.

AB - We determine the phase structure and properties of a 4D lattice model with a real scalar field interacting with staggered fermions via a local Yukawa interaction. For large bare Yukawa coupling, the phase diagram differs significantly from that for the model with a hypercubic Yukawa interaction; in particular, we find a new symmetric phase in which fermions are massive. We comment on implications for extracting regularization scheme-independent continuum physics from lattice scalar-fermion models.

UR - https://www.scopus.com/pages/publications/13344295105

U2 - 10.1016/0550-3213(90)90664-Y

DO - 10.1016/0550-3213(90)90664-Y

M3 - Article

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SN - 0550-3213

VL - 334

SP - 265

EP - 278

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1

ER -

Study of different lattice formulations of a Yukawa model with a real scalar field

Abstract

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