Gauge invariant effective action for the Polyakov line in the SU(N) Yang-Mills theory at high temperatures
- NORDITA, Blegdamsvej 17, DK-2100 Copenhagen (Denmark)
- NBI, Blegdamsvej 17, DK-2100 Copenhagen (Denmark)
We integrate out fast varying quantum fluctuations around static A{sub 4} and A{sub i} fields for the SU(N) gauge group. By assuming that the gluon fields are slowly varying but allowing for an arbitrary amplitude of A{sub 4} 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 A{sub i} 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 A{sub 4}.
- OSTI ID:
- 20698047
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 10; Other Information: DOI: 10.1103/PhysRevD.70.105016; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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