Improved effective potential in the Einstein metric

Details Improved effective potential in the Einstein metric Improved effective potential in the Einstein metric

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988iepe.book.....d&link_type=abstract

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Physics

Broken Symmetry, Field Theory (Physics), Quantum Theory, Relativity, Self Consistent Fields, Astronomical Models, Cosmology, Feynman Diagrams, Scalars, Space-Time Functions

Scientific paper

We present a self-consistent evaluation of the effective potential for a lambda phi sup 4 non-minimally coupled to an Einstein background geometry. This method takes into account the contribution from the multiloop Feynman diagrams with non-overlapping bubbles. It results that, even if the classical potential is double-well shaped, the vacuum expectation value of the scalar field is always vanishing because of a finite size effect, and no phase transitions can occur. A similar result can be obtained also in the de Sitter S sup 4 space, where the present approach holds as well. The implications of the results on the dynamics of the early universe are briefly discussed.

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