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, Physics & Astronomy

Research output: Contribution to journal › Article

59 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.",

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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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