Gauge invariant effective action for the Polyakov line in the SU(N) Yang-Mills theory at high temperatures
Creators
- 1. St. Petersburg NPI, Gatchina, 188 300, St. Petersburg (Russian Federation)
- 2. NORDITA, Blegdamsvej 17, DK-2100 Copenhagen (Denmark)
- 3. NBI, Blegdamsvej 17, DK-2100 Copenhagen (Denmark)
Description
We integrate out fast varying quantum fluctuations around static A4 and Ai fields for the SU(N) gauge group. By assuming that the gluon fields are slowly varying but allowing for an arbitrary amplitude of A4 we obtain two variants of the effective high-temperature theory for the Polyakov line. One is the effective action for the gauge-invariant eigenvalues of the Polyakov line, and it is explicitly Z(N) symmetric. The other is the effective action for the Polyakov line itself as an element of the SU(N). In this case the theory necessarily includes the spatial components Ai to ensure its gauge invariance under spatial gauge transformations. We derive the 1-loop effective action in the electric and magnetic sectors, summing up all powers of A4
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.70.105016;
- arXiv
- arXiv:hep-ph/0403108v2;
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 70
- Journal Issue
- 10
- Journal Page Range
- p. 105016-105016.15
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37014049
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ACTION INTEGRAL; AMPLITUDES; EIGENVALUES; FLUCTUATIONS; GAUGE INVARIANCE; GLUONS; QUANTUM FIELD THEORY; SU GROUPS; YANG-MILLS THEORY
- Descriptors DEC
- BOSONS; ELEMENTARY PARTICLES; FIELD THEORIES; INTEGRALS; INVARIANCE PRINCIPLES; LIE GROUPS; POSTULATED PARTICLES; SYMMETRY GROUPS; VARIATIONS
Optional Information
- Notes
- (c) 2004 The American Physical Society