Effective constraint potential in lattice Weinberg-Salam model

M. I. Polikarpov; M. A. Zubkov

doi:10.1016/j.physletb.2011.05.019

Effective constraint potential in lattice Weinberg-Salam model

M. I. Polikarpov, M. A. Zubkov

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

2 Scopus citations

Abstract

We investigate lattice Weinberg-Salam model without fermions for the value of the Weinberg angle θW~30°, and bare fine structure constant around α~1150. We consider the value of the scalar self coupling corresponding to bare Higgs mass around 150 GeV. The effective constraint potential for the zero momentum scalar field is used in order to investigate phenomena existing in the vicinity of the phase transition between the physical Higgs phase and the unphysical symmetric phase of the lattice model. This is the region of the phase diagram, where the continuum physics is to be approached. We compare the above mentioned effective potential (calculated in selected gauges) with the effective potential for the value of the scalar field at a fixed space-time point. We also calculate the renormalized fine structure constant using the correlator of Polyakov lines and compare it with the one-loop perturbative estimate.

Original language	English
Pages (from-to)	336-342
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	700
Issue number	5
DOIs	https://doi.org/10.1016/j.physletb.2011.05.019
State	Published - 20 Jun 2011
Externally published	Yes

Keywords

Continuum limit
Effective potential
Lattice gauge theory
Phase transition
Weinberg-Salam model

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10.1016/j.physletb.2011.05.019

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title = "Effective constraint potential in lattice Weinberg-Salam model",

abstract = "We investigate lattice Weinberg-Salam model without fermions for the value of the Weinberg angle θW~30°, and bare fine structure constant around α~1150. We consider the value of the scalar self coupling corresponding to bare Higgs mass around 150 GeV. The effective constraint potential for the zero momentum scalar field is used in order to investigate phenomena existing in the vicinity of the phase transition between the physical Higgs phase and the unphysical symmetric phase of the lattice model. This is the region of the phase diagram, where the continuum physics is to be approached. We compare the above mentioned effective potential (calculated in selected gauges) with the effective potential for the value of the scalar field at a fixed space-time point. We also calculate the renormalized fine structure constant using the correlator of Polyakov lines and compare it with the one-loop perturbative estimate.",

keywords = "Continuum limit, Effective potential, Lattice gauge theory, Phase transition, Weinberg-Salam model",

author = "Polikarpov, {M. I.} and Zubkov, {M. A.}",

note = "Funding Information: The authors kindly acknowledge discussions with V.I. Zakharov, V.A. Rubakov, V.A. Novikov, and M.I. Vysotsky. This work was partly supported by RFBR grant 09-02-00338 , 11-02-01227 , by Grant for Leading Scientific Schools 679.2008.2 . This work was also supported by the Federal Special-Purpose Programme {\textquoteleft}Cadres{\textquoteright} of the Russian Ministry of Science and Education . The numerical simulations have been performed using the facilities of Moscow Joint Supercomputer Center, and the supercomputer center of Moscow University.",

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doi = "10.1016/j.physletb.2011.05.019",

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AU - Zubkov, M. A.

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N2 - We investigate lattice Weinberg-Salam model without fermions for the value of the Weinberg angle θW~30°, and bare fine structure constant around α~1150. We consider the value of the scalar self coupling corresponding to bare Higgs mass around 150 GeV. The effective constraint potential for the zero momentum scalar field is used in order to investigate phenomena existing in the vicinity of the phase transition between the physical Higgs phase and the unphysical symmetric phase of the lattice model. This is the region of the phase diagram, where the continuum physics is to be approached. We compare the above mentioned effective potential (calculated in selected gauges) with the effective potential for the value of the scalar field at a fixed space-time point. We also calculate the renormalized fine structure constant using the correlator of Polyakov lines and compare it with the one-loop perturbative estimate.

AB - We investigate lattice Weinberg-Salam model without fermions for the value of the Weinberg angle θW~30°, and bare fine structure constant around α~1150. We consider the value of the scalar self coupling corresponding to bare Higgs mass around 150 GeV. The effective constraint potential for the zero momentum scalar field is used in order to investigate phenomena existing in the vicinity of the phase transition between the physical Higgs phase and the unphysical symmetric phase of the lattice model. This is the region of the phase diagram, where the continuum physics is to be approached. We compare the above mentioned effective potential (calculated in selected gauges) with the effective potential for the value of the scalar field at a fixed space-time point. We also calculate the renormalized fine structure constant using the correlator of Polyakov lines and compare it with the one-loop perturbative estimate.

KW - Continuum limit

KW - Effective potential

KW - Lattice gauge theory

KW - Phase transition

KW - Weinberg-Salam model

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JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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Effective constraint potential in lattice Weinberg-Salam model

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