Anomalies of the Free Loop Wave Equation in the WKB Approximation
Apr, 198032 pages
Published in:
- Nucl.Phys.B 173 (1980) 365
- Published: 1980
Report number:
- DESY-80-31
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Abstract: (Elsevier)
We derive a well-defined, reparametrization invariant expression for the next to leading term in the small ħ expansion of the euclidean loop Green functional ψ( C ). To this order in ħ, we then verify that ψ( C ) satisfies a renormalized loop wave equation, which involves a number of local, but non-harmonic anomalous terms. Also, we find that the quantum fluctuations of the string give rise, in 3 + 1 dimensions, to a correction of the static quark potential by an attractive Coulomb potential of universal strength α string = 1 12 π .- MODEL: STRING
- BOUNDARY CONDITION
- FIELD EQUATIONS: STRING
- FIELD EQUATIONS: ANOMALY
- FIELD EQUATIONS: RENORMALIZATION
- APPROXIMATION: WKB approximation
- FIELD THEORY: EUCLIDEAN
- FIELD THEORY: FOUR-DIMENSIONAL
- PROPAGATOR
- POTENTIAL: COULOMB
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