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The massless linear sigma model with loop corrections. (English) Zbl 1149.81336

Summary: We study the effect of one-loop corrections from nucleon together with those from meson in the massless linear sigma model, where we perform the Coleman-Weinberg (CW) renormalization procedure in order to obtain the stable effective potential. We also study the non-perturbative and higher loop corrections with fermions and bosons in the Cornwall, Jackiw and Tomboulis (CJT) method.

MSC:

81T10 Model quantum field theories
81R40 Symmetry breaking in quantum theory
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
Full Text: DOI

References:

[1] Coleman S. R., Phys. Rev. pp 1888–
[2] DOI: 10.1016/j.ppnp.2006.12.011 · doi:10.1016/j.ppnp.2006.12.011
[3] Cornwall J. M., Phys. Rev. 10 pp 2428–
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