Finite Temperature Spectral Function of the σ Meson from Large N Expansion

Research output: Contribution to journalArticle

Abstract

The spectral function of the scalar-isoscalar channel of the O(N) symmetric linear σ model is studied in the broken symmetry phase. The investigation is based on the leading order evaluation of the self-energy in the limit of large number of Goldstone bosons. We describe its temperature-dependent variation in the whole low temperature phase. This variation closely reflects the trajectory of the scalar-isoscalar quasi-particle pole. In the model with no explicit chiral symmetry breaking, we studied also the corresponding dynamical exponent near the critical point.

Original languageEnglish
Pages (from-to)31-39
Number of pages9
JournalActa Physica Hungarica New Series Heavy Ion Physics
Volume18
Issue number1
DOIs
Publication statusPublished - 2003

Fingerprint

broken symmetry
mesons
scalars
expansion
elementary excitations
critical point
poles
bosons
trajectories
exponents
temperature
evaluation
energy

Keywords

  • Large N approximation
  • Linear σ model
  • Spectral function

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

@article{b899c4c05f544b1985188be3b99b6d17,
title = "Finite Temperature Spectral Function of the σ Meson from Large N Expansion",
abstract = "The spectral function of the scalar-isoscalar channel of the O(N) symmetric linear σ model is studied in the broken symmetry phase. The investigation is based on the leading order evaluation of the self-energy in the limit of large number of Goldstone bosons. We describe its temperature-dependent variation in the whole low temperature phase. This variation closely reflects the trajectory of the scalar-isoscalar quasi-particle pole. In the model with no explicit chiral symmetry breaking, we studied also the corresponding dynamical exponent near the critical point.",
keywords = "Large N approximation, Linear σ model, Spectral function",
author = "A. Patk{\'o}s and Z. Sz{\'e}p and P. Sz{\'e}pfalusy",
year = "2003",
doi = "10.1556/APH.18.2003.1.4",
language = "English",
volume = "18",
pages = "31--39",
journal = "Acta Physica Hungarica, Series A: Heavy Ion Physics",
issn = "1219-7580",
publisher = "Akademiai Kiado",
number = "1",

}

TY - JOUR

T1 - Finite Temperature Spectral Function of the σ Meson from Large N Expansion

AU - Patkós, A.

AU - Szép, Z.

AU - Szépfalusy, P.

PY - 2003

Y1 - 2003

N2 - The spectral function of the scalar-isoscalar channel of the O(N) symmetric linear σ model is studied in the broken symmetry phase. The investigation is based on the leading order evaluation of the self-energy in the limit of large number of Goldstone bosons. We describe its temperature-dependent variation in the whole low temperature phase. This variation closely reflects the trajectory of the scalar-isoscalar quasi-particle pole. In the model with no explicit chiral symmetry breaking, we studied also the corresponding dynamical exponent near the critical point.

AB - The spectral function of the scalar-isoscalar channel of the O(N) symmetric linear σ model is studied in the broken symmetry phase. The investigation is based on the leading order evaluation of the self-energy in the limit of large number of Goldstone bosons. We describe its temperature-dependent variation in the whole low temperature phase. This variation closely reflects the trajectory of the scalar-isoscalar quasi-particle pole. In the model with no explicit chiral symmetry breaking, we studied also the corresponding dynamical exponent near the critical point.

KW - Large N approximation

KW - Linear σ model

KW - Spectral function

UR - http://www.scopus.com/inward/record.url?scp=0344927208&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0344927208&partnerID=8YFLogxK

U2 - 10.1556/APH.18.2003.1.4

DO - 10.1556/APH.18.2003.1.4

M3 - Article

AN - SCOPUS:0344927208

VL - 18

SP - 31

EP - 39

JO - Acta Physica Hungarica, Series A: Heavy Ion Physics

JF - Acta Physica Hungarica, Series A: Heavy Ion Physics

SN - 1219-7580

IS - 1

ER -