Thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions

J.O. Andersen; D. Boer; H.J. Warringa

doi:10.1103/PhysRevD.69.076006

Thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions

J.O. Andersen
, D. Boer
, H.J. Warringa

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

The thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions is studied. We calculate the pressure to next-to-leading order in the 1/N expansion and show that at this order, only the minimum of the effective potential can be rendered finite by temperature-independent renormalization. To obtain a finite effective potential away from the minimum requires an arbitrary choice of prescription, which implies that the temperature dependence is ambiguous. We show that the problem is linked to thermal infrared renormalons. © 2004 The American Physical Society.

Original language	English
Journal	Physical Review D
Volume	69
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevD.69.076006
Publication status	Published - 2004

Bibliographical note

Times Cited: 4

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10.1103/PhysRevD.69.076006

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title = "Thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions",

abstract = "The thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions is studied. We calculate the pressure to next-to-leading order in the 1/N expansion and show that at this order, only the minimum of the effective potential can be rendered finite by temperature-independent renormalization. To obtain a finite effective potential away from the minimum requires an arbitrary choice of prescription, which implies that the temperature dependence is ambiguous. We show that the problem is linked to thermal infrared renormalons. {\textcopyright} 2004 The American Physical Society.",

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N2 - The thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions is studied. We calculate the pressure to next-to-leading order in the 1/N expansion and show that at this order, only the minimum of the effective potential can be rendered finite by temperature-independent renormalization. To obtain a finite effective potential away from the minimum requires an arbitrary choice of prescription, which implies that the temperature dependence is ambiguous. We show that the problem is linked to thermal infrared renormalons. © 2004 The American Physical Society.

AB - The thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions is studied. We calculate the pressure to next-to-leading order in the 1/N expansion and show that at this order, only the minimum of the effective potential can be rendered finite by temperature-independent renormalization. To obtain a finite effective potential away from the minimum requires an arbitrary choice of prescription, which implies that the temperature dependence is ambiguous. We show that the problem is linked to thermal infrared renormalons. © 2004 The American Physical Society.

U2 - 10.1103/PhysRevD.69.076006

DO - 10.1103/PhysRevD.69.076006

M3 - Article

SN - 1550-7998

VL - 69

JO - Physical Review D

JF - Physical Review D

IS - 7

ER -

Thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions

Abstract

Bibliographical note

UN SDGs

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