Spontaneous symmetry breaking in the presence of gravitational fields

Y. Verbin

doi:10.1016/0550-3213(86)90244-0

Spontaneous symmetry breaking in the presence of gravitational fields

Y. Verbin

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

Abstract

It is shown that spontaneous breaking of O(2) symmetry in a background metric of constant curvature R is accompanied by appearance of a Goldstone mode with mass squared of - 1 2R. If the gravitational field is coupled dynamically, the situation is quite similar and when spontaneous breaking of the O(2) symmetry takes place, a massive Goldstone mode appears in the antide Sitter background. A modified lagrangian yields a massless Goldstone mode and a flat background. If the O(2) symmetry is promoted to be local, the Higgs mechanism is responsible for the scalar and gauge field masses which include gravitational contributions.

Original language	English
Pages (from-to)	739-747
Number of pages	9
Journal	Nuclear Physics B
Volume	272
Issue number	3-4
DOIs	https://doi.org/10.1016/0550-3213(86)90244-0
State	Published - 4 Aug 1986
Externally published	Yes

Bibliographical note

Funding Information:
* Supported in part by the US-Israel Binational Science Foundation. * We use the conventions: R = g~R"~,,,~, R~x~,~= O~F~x .... and also use ~ for Newton's constant 8';"r/m2 p lanck.

Access to Document

10.1016/0550-3213(86)90244-0

Cite this

@article{ff06c3ee0bc443f89a863297b3791719,

title = "Spontaneous symmetry breaking in the presence of gravitational fields",

abstract = "It is shown that spontaneous breaking of O(2) symmetry in a background metric of constant curvature R is accompanied by appearance of a Goldstone mode with mass squared of - 1 2R. If the gravitational field is coupled dynamically, the situation is quite similar and when spontaneous breaking of the O(2) symmetry takes place, a massive Goldstone mode appears in the antide Sitter background. A modified lagrangian yields a massless Goldstone mode and a flat background. If the O(2) symmetry is promoted to be local, the Higgs mechanism is responsible for the scalar and gauge field masses which include gravitational contributions.",

author = "Y. Verbin",

note = "Funding Information: * Supported in part by the US-Israel Binational Science Foundation. * We use the conventions: R = g\textasciitilde{}R{"}\textasciitilde{},,,\textasciitilde{}, R\textasciitilde{}x\textasciitilde{},\textasciitilde{}= O\textasciitilde{}F\textasciitilde{}x .... and also use \textasciitilde{} for Newton's constant 8';{"}r/m2 p lanck.",

year = "1986",

month = aug,

day = "4",

doi = "10.1016/0550-3213(86)90244-0",

language = "אנגלית",

volume = "272",

pages = "739--747",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier BV",

number = "3-4",

}

TY - JOUR

T1 - Spontaneous symmetry breaking in the presence of gravitational fields

AU - Verbin, Y.

N1 - Funding Information: * Supported in part by the US-Israel Binational Science Foundation. * We use the conventions: R = g~R"~,,,~, R~x~,~= O~F~x .... and also use ~ for Newton's constant 8';"r/m2 p lanck.

PY - 1986/8/4

Y1 - 1986/8/4

N2 - It is shown that spontaneous breaking of O(2) symmetry in a background metric of constant curvature R is accompanied by appearance of a Goldstone mode with mass squared of - 1 2R. If the gravitational field is coupled dynamically, the situation is quite similar and when spontaneous breaking of the O(2) symmetry takes place, a massive Goldstone mode appears in the antide Sitter background. A modified lagrangian yields a massless Goldstone mode and a flat background. If the O(2) symmetry is promoted to be local, the Higgs mechanism is responsible for the scalar and gauge field masses which include gravitational contributions.

AB - It is shown that spontaneous breaking of O(2) symmetry in a background metric of constant curvature R is accompanied by appearance of a Goldstone mode with mass squared of - 1 2R. If the gravitational field is coupled dynamically, the situation is quite similar and when spontaneous breaking of the O(2) symmetry takes place, a massive Goldstone mode appears in the antide Sitter background. A modified lagrangian yields a massless Goldstone mode and a flat background. If the O(2) symmetry is promoted to be local, the Higgs mechanism is responsible for the scalar and gauge field masses which include gravitational contributions.

UR - https://www.scopus.com/pages/publications/46149135444

U2 - 10.1016/0550-3213(86)90244-0

DO - 10.1016/0550-3213(86)90244-0

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:46149135444

SN - 0550-3213

VL - 272

SP - 739

EP - 747

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3-4

ER -

Spontaneous symmetry breaking in the presence of gravitational fields

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this