The effective chiral Lagrangian from the theta term

E. Mereghetti; W. H. Hockings; U. van Kolck

doi:10.1016/j.aop.2010.03.005

The effective chiral Lagrangian from the theta term

E. Mereghetti, W. H. Hockings, U. van Kolck

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

64 Scopus citations

Abstract

We construct the effective chiral Lagrangian involving hadronic and electromagnetic interactions originating from the QCD θ̄ term. We impose vacuum alignment at both quark and hadronic levels, including field redefinitions to eliminate pion tadpoles. We show that leading time-reversal-violating (TV) hadronic interactions are related to isospin-violating interactions that can in principle be determined from charge-symmetry-breaking experiments. We discuss the complications that arise from TV electromagnetic interactions. Some implications of the expected sizes of various pion-nucleon TV interactions are presented, and the pion-nucleon form factor is used as an example.

Original language	English (US)
Pages (from-to)	2363-2409
Number of pages	47
Journal	Annals of Physics
Volume	325
Issue number	11
DOIs	https://doi.org/10.1016/j.aop.2010.03.005
State	Published - Nov 2010
Externally published	Yes

Keywords

Chiral Lagrangians
Effective field theory
Time-reversal violation

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.aop.2010.03.005

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title = "The effective chiral Lagrangian from the theta term",

abstract = "We construct the effective chiral Lagrangian involving hadronic and electromagnetic interactions originating from the QCD {\=θ} term. We impose vacuum alignment at both quark and hadronic levels, including field redefinitions to eliminate pion tadpoles. We show that leading time-reversal-violating (TV) hadronic interactions are related to isospin-violating interactions that can in principle be determined from charge-symmetry-breaking experiments. We discuss the complications that arise from TV electromagnetic interactions. Some implications of the expected sizes of various pion-nucleon TV interactions are presented, and the pion-nucleon form factor is used as an example.",

keywords = "Chiral Lagrangians, Effective field theory, Time-reversal violation",

author = "E. Mereghetti and Hockings, {W. H.} and {van Kolck}, U.",

note = "Funding Information: We have benefited from discussion with Dani{\"e}l Boer, Jordy de Vries, Jim Friar, Claudio Maekawa, Mike Ramsey-Musolf, Rob Timmermans, and, long ago, Scott Thomas. We thank Sid Coon for comments on the manuscript. We acknowledge useful correspondence with Sergiy Kondratyuk about the pion–nucleon form factor. UvK thanks the hospitality extended to him at the Kernfysisch Versneller Instituut of the Rijksuniversiteit Groningen and at the National Institute for Nuclear Theory at the University of Washington, where portions of this work were carried out. This research was supported by the US Department of Energy under Grants DE-FG02-04ER41338 (E.M., W.H., U.vK.) and DE-FG02-06ER41449 (E.M.). ",

year = "2010",

month = nov,

doi = "10.1016/j.aop.2010.03.005",

language = "English (US)",

volume = "325",

pages = "2363--2409",

journal = "Annals of Physics",

issn = "0003-4916",

publisher = "Academic Press Inc.",

number = "11",

}

TY - JOUR

T1 - The effective chiral Lagrangian from the theta term

AU - Mereghetti, E.

AU - Hockings, W. H.

AU - van Kolck, U.

N1 - Funding Information: We have benefited from discussion with Daniël Boer, Jordy de Vries, Jim Friar, Claudio Maekawa, Mike Ramsey-Musolf, Rob Timmermans, and, long ago, Scott Thomas. We thank Sid Coon for comments on the manuscript. We acknowledge useful correspondence with Sergiy Kondratyuk about the pion–nucleon form factor. UvK thanks the hospitality extended to him at the Kernfysisch Versneller Instituut of the Rijksuniversiteit Groningen and at the National Institute for Nuclear Theory at the University of Washington, where portions of this work were carried out. This research was supported by the US Department of Energy under Grants DE-FG02-04ER41338 (E.M., W.H., U.vK.) and DE-FG02-06ER41449 (E.M.).

PY - 2010/11

Y1 - 2010/11

N2 - We construct the effective chiral Lagrangian involving hadronic and electromagnetic interactions originating from the QCD θ̄ term. We impose vacuum alignment at both quark and hadronic levels, including field redefinitions to eliminate pion tadpoles. We show that leading time-reversal-violating (TV) hadronic interactions are related to isospin-violating interactions that can in principle be determined from charge-symmetry-breaking experiments. We discuss the complications that arise from TV electromagnetic interactions. Some implications of the expected sizes of various pion-nucleon TV interactions are presented, and the pion-nucleon form factor is used as an example.

AB - We construct the effective chiral Lagrangian involving hadronic and electromagnetic interactions originating from the QCD θ̄ term. We impose vacuum alignment at both quark and hadronic levels, including field redefinitions to eliminate pion tadpoles. We show that leading time-reversal-violating (TV) hadronic interactions are related to isospin-violating interactions that can in principle be determined from charge-symmetry-breaking experiments. We discuss the complications that arise from TV electromagnetic interactions. Some implications of the expected sizes of various pion-nucleon TV interactions are presented, and the pion-nucleon form factor is used as an example.

KW - Chiral Lagrangians

KW - Effective field theory

KW - Time-reversal violation

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DO - 10.1016/j.aop.2010.03.005

M3 - Article

AN - SCOPUS:77956339333

SN - 0003-4916

VL - 325

SP - 2363

EP - 2409

JO - Annals of Physics

JF - Annals of Physics

IS - 11

ER -

The effective chiral Lagrangian from the theta term

Abstract

Keywords

ASJC Scopus subject areas

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