Loop Expansion in Light-Cone $φ^4$ Field Theory

Details Loop Expansion in Light-Cone $φ^4$ Field Theory Loop Expansion in Light-Cone $φ^4$ Field Theory

1995-07-28

arxiv.org/abs/hep-ph/9507450v1

Phys.Rev. D52 (1995) 4633-4639

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, plain Tex, 1 table, 3 figures available from xu@nsdssd.lbl.gov , accepted by Phys. Rev. D

Scientific paper

10.1103/PhysRevD.52.4633

A loop expansion is implemented based on the path integral quantization of the light-cone $\phi^4$ field theory in 1+1 dimensions. The effective potential as a function of the zero-mode field $\omega$ is calculated up to two loop order and its derivative with respect to $\omega$ is used to determine the vacuum expectation value of the field $\phi$. The critical coupling constant at the spontaneous symmetry breakdown is consistent with that obtained in the ordinary instant-form field theory. The critical exponents which describe the behavior of the susceptibility and the vacuum expectation value of $\phi$ near the critical point are evaluated from the effective potential. The one loop diagrams for the connected Green's function are calculated in momentum space. The relevant equal-time correlation function is shown to be closely related.

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