### Abstract

We investigate the finite temperature behavior of the meson sector of an effective Lagrangian which describes nuclear matter. A method is developed for evaluating the logarithmic terms in the effective potential which involves expansion and resummation; the result is written in terms of the exponential integral. In the absence of explicit chiral symmetry breaking, a phase transition restores the symmetry at a temperature of 190 MeV; when the pion has a mass the transition is smooth. At a much higher temperature a first order phase transition restores scale symmetry.

Original language | English (US) |
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Pages (from-to) | 317-329 |

Number of pages | 13 |

Journal | Nuclear Physics A |

Volume | 618 |

Issue number | 3 |

DOIs | |

State | Published - Jun 2 1997 |

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### Keywords

- Chiral symmetry restoration
- Effective lagrangian
- Finite temperature

### Cite this

*Nuclear Physics A*,

*618*(3), 317-329. https://doi.org/10.1016/S0375-9474(97)00048-1

**An effective lagrangian with broken scale and chiral symmetry III. Mesons at finite temperature.** / Carter, G. W.; Ellis, P. J.; Rudaz, Serge.

Research output: Contribution to journal › Article

*Nuclear Physics A*, vol. 618, no. 3, pp. 317-329. https://doi.org/10.1016/S0375-9474(97)00048-1

}

TY - JOUR

T1 - An effective lagrangian with broken scale and chiral symmetry III. Mesons at finite temperature

AU - Carter, G. W.

AU - Ellis, P. J.

AU - Rudaz, Serge

PY - 1997/6/2

Y1 - 1997/6/2

N2 - We investigate the finite temperature behavior of the meson sector of an effective Lagrangian which describes nuclear matter. A method is developed for evaluating the logarithmic terms in the effective potential which involves expansion and resummation; the result is written in terms of the exponential integral. In the absence of explicit chiral symmetry breaking, a phase transition restores the symmetry at a temperature of 190 MeV; when the pion has a mass the transition is smooth. At a much higher temperature a first order phase transition restores scale symmetry.

AB - We investigate the finite temperature behavior of the meson sector of an effective Lagrangian which describes nuclear matter. A method is developed for evaluating the logarithmic terms in the effective potential which involves expansion and resummation; the result is written in terms of the exponential integral. In the absence of explicit chiral symmetry breaking, a phase transition restores the symmetry at a temperature of 190 MeV; when the pion has a mass the transition is smooth. At a much higher temperature a first order phase transition restores scale symmetry.

KW - Chiral symmetry restoration

KW - Effective lagrangian

KW - Finite temperature

UR - http://www.scopus.com/inward/record.url?scp=0031548094&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031548094&partnerID=8YFLogxK

U2 - 10.1016/S0375-9474(97)00048-1

DO - 10.1016/S0375-9474(97)00048-1

M3 - Article

VL - 618

SP - 317

EP - 329

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 3

ER -