Chromomagnetic energy of SU(2) gauge fields on a torus

T. H. Hansson; Pierre van Baal; I. Zahed

doi:10.1016/0550-3213(87)90398-1

Chromomagnetic energy of SU(2) gauge fields on a torus

T. H. Hansson
, Pierre van Baal
, I. Zahed

Physics and Astronomy

Stony Brook University

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

18 Scopus citations

Abstract

Inspired by the Savvidy-Copenhagen vacuum picture, we present a calculation of the chromomagnetic energy of pure SU(2) gauge fields defined on a torus. We avoid the perturbative instability of the Savvidy state by introducing magnetic flux through 't Hooft's twisted boundary conditions. The energy as a function of magnetic flux and volume is calculated to two-loop order. Nonperturbative effects related to tunneling processes are briefly discussed. We consider this calculation as a first step in a program aimed at exhibiting possible instabilities of the perturbative vacuum.

Original language	English
Pages (from-to)	628-644
Number of pages	17
Journal	Nuclear Physics, Section B
Volume	289
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(87)90398-1
State	Published - 1987

Access to Document

10.1016/0550-3213(87)90398-1

Cite this

@article{45e058938ca645869868667c56c734d2,

title = "Chromomagnetic energy of SU(2) gauge fields on a torus",

abstract = "Inspired by the Savvidy-Copenhagen vacuum picture, we present a calculation of the chromomagnetic energy of pure SU(2) gauge fields defined on a torus. We avoid the perturbative instability of the Savvidy state by introducing magnetic flux through 't Hooft's twisted boundary conditions. The energy as a function of magnetic flux and volume is calculated to two-loop order. Nonperturbative effects related to tunneling processes are briefly discussed. We consider this calculation as a first step in a program aimed at exhibiting possible instabilities of the perturbative vacuum.",

author = "Hansson, \{T. H.\} and \{van Baal\}, Pierre and I. Zahed",

year = "1987",

doi = "10.1016/0550-3213(87)90398-1",

language = "English",

volume = "289",

pages = "628--644",

journal = "Nuclear Physics, Section B",

issn = "0550-3213",

number = "C",

}

TY - JOUR

T1 - Chromomagnetic energy of SU(2) gauge fields on a torus

AU - Hansson, T. H.

AU - van Baal, Pierre

AU - Zahed, I.

PY - 1987

Y1 - 1987

N2 - Inspired by the Savvidy-Copenhagen vacuum picture, we present a calculation of the chromomagnetic energy of pure SU(2) gauge fields defined on a torus. We avoid the perturbative instability of the Savvidy state by introducing magnetic flux through 't Hooft's twisted boundary conditions. The energy as a function of magnetic flux and volume is calculated to two-loop order. Nonperturbative effects related to tunneling processes are briefly discussed. We consider this calculation as a first step in a program aimed at exhibiting possible instabilities of the perturbative vacuum.

AB - Inspired by the Savvidy-Copenhagen vacuum picture, we present a calculation of the chromomagnetic energy of pure SU(2) gauge fields defined on a torus. We avoid the perturbative instability of the Savvidy state by introducing magnetic flux through 't Hooft's twisted boundary conditions. The energy as a function of magnetic flux and volume is calculated to two-loop order. Nonperturbative effects related to tunneling processes are briefly discussed. We consider this calculation as a first step in a program aimed at exhibiting possible instabilities of the perturbative vacuum.

UR - https://www.scopus.com/pages/publications/4244109454

U2 - 10.1016/0550-3213(87)90398-1

DO - 10.1016/0550-3213(87)90398-1

M3 - Article

AN - SCOPUS:4244109454

SN - 0550-3213

VL - 289

SP - 628

EP - 644

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - C

ER -

Chromomagnetic energy of SU(2) gauge fields on a torus

Abstract

Access to Document

Other files and links

Fingerprint

Cite this