Soft pions in large boxes

Herbert Neuberger

doi:10.1016/0550-3213(88)90592-5

Soft pions in large boxes

Herbert Neuberger

School of Arts and Sciences, New High Energy Theory Center

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

58 Scopus citations

Abstract

In this paper we deal with the linear O(N) σ-model in four dimensions in the broken phase. It is argued that the zero-momentum two-point function in a finite box obeys a soft-pion finite-size theorem which holds if the boundary conditions are periodic. The theorem's validity depends only on the structure of the would-be massless sector of the model.

Original language	English (US)
Pages (from-to)	180-196
Number of pages	17
Journal	Nuclear Physics, Section B
Volume	300
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(88)90592-5
State	Published - 1988

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(88)90592-5

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title = "Soft pions in large boxes",

abstract = "In this paper we deal with the linear O(N) σ-model in four dimensions in the broken phase. It is argued that the zero-momentum two-point function in a finite box obeys a soft-pion finite-size theorem which holds if the boundary conditions are periodic. The theorem's validity depends only on the structure of the would-be massless sector of the model.",

author = "Herbert Neuberger",

note = "Funding Information: The author wishes to thank F. David for a critical reading of the manuscript and some valuable suggestions. This research was supported by the DOE under the Outstanding Junior Investigator program, grant # DE-FG05-86-ER40265.",

year = "1988",

doi = "10.1016/0550-3213(88)90592-5",

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AU - Neuberger, Herbert

N1 - Funding Information: The author wishes to thank F. David for a critical reading of the manuscript and some valuable suggestions. This research was supported by the DOE under the Outstanding Junior Investigator program, grant # DE-FG05-86-ER40265.

PY - 1988

Y1 - 1988

N2 - In this paper we deal with the linear O(N) σ-model in four dimensions in the broken phase. It is argued that the zero-momentum two-point function in a finite box obeys a soft-pion finite-size theorem which holds if the boundary conditions are periodic. The theorem's validity depends only on the structure of the would-be massless sector of the model.

AB - In this paper we deal with the linear O(N) σ-model in four dimensions in the broken phase. It is argued that the zero-momentum two-point function in a finite box obeys a soft-pion finite-size theorem which holds if the boundary conditions are periodic. The theorem's validity depends only on the structure of the would-be massless sector of the model.

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DO - 10.1016/0550-3213(88)90592-5

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VL - 300

SP - 180

EP - 196

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - C

ER -

Soft pions in large boxes

Abstract

All Science Journal Classification (ASJC) codes

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