Euclidean Wilson loop and axial gauge

Journal Article · Mon Aug 20 04:00:00 EDT 1990 · Modern Physics Letters B; (USA)

DOI:https://doi.org/10.1142/S0217751X90002142· OSTI ID:6546556

Nardelli, G ^[1]; Soldati, R ^[2]

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1. Center of Theoretical Physics, Lab. of Nuclear Science and Dept. of Physics, Massachusetts Inst. of Technology, Cambridge, MA (US)
2. Dept. de Fisica, Univ. de Bologna, via Irnerio 46, 40126 Bologna (IT)

A critical analysis is given in order to set up a well-defined perturbative expansion for Yang-Mills Euclidean theories within the axial gauge choice, using Cauchy principal value prescription to handle the spurious singularities. It is shown that, following a mathematically meaningful and unambiguous procedure, the exponential behavior of the Euclidean Wilson loop does not occur at variance with the covariant and planar gauge choices. A comparison with previous similar approaches and results is worked out in order to clearly understand the reasons for the breakdown of gauge invariance in the present case. The authors conclude that the so far proposed alternative prescriptions, which have been claimed to restore gauge invariance, should be carefully reexamined, at least for the Euclidean formulation.

• OSTI ID: 6546556
• Journal Information: Modern Physics Letters B; (USA), Journal Name: Modern Physics Letters B; (USA) Vol. 5:16; ISSN 0217-9849; ISSN MPLBE
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CAUCHY PROBLEM
EUCLIDEAN SPACE
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
RIEMANN SPACE
SPACE
SYMMETRY BREAKING
WILSON LOOP
YANG-MILLS THEORY