Explicit curvature dependence of coupling constants

Details Explicit curvature dependence of coupling constants Explicit curvature dependence of coupling constants

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.2424p&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 10, 15 May 1985, pp.2424-2438

Other

56

Other Topics In Mathematical Methods In Physics, Theory Of Quantized Fields

Scientific paper

We consider a renormalizable quantum field theory, such as a grand unified theory, in a general curved spacetime. We use a new partially summed form of the proper-time or heat-kernel expansion of the propagator to obtain curvature-dependent logarithmic terms in the effective action. We demonstrate the connection between these terms and the renormalization group. The explicit form of the logarithmic curvature dependence permits us to obtain the modified gravitational field equations. The logarithmic terms are of importance for dynamical models of the early universe, including inflationary models. These terms are also of interest at the present time. We use them, together with the observed upper limit on the present value of the cosmological constant, to place an upper limit on the masses of the heaviest particles in renormalizable field theories. This upper limit is of the order of 1019 GeV for Higgs bosons in minimal SU(5) theory.

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