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Higher Derivative Four-Fermion Model in Curved Spacetime
E. Elizalde, S. Leseduarte, S. D. Odintsov
We discuss the phase structure of a higher derivative four-fermion model in four dimensions in curved spacetime in frames of the -expansion. First, we evaluate in ou…
Non-Critical Bosonic String Corrections to the Black Hole Entropy
E. Elizalde, S. D. Odintsov
We calculate the quantum corrections to the entropy of a very large black hole, coming from the theory of a -dimensional, non-critical bosonic string. We show that, for ,…
Improved Effective Potential in Curved Spacetime and Quantum Matter - Higher Derivative Gravity Theory
Emilio Elizalde, Sergei D. Odintsov, August Romeo
\noindent{\large\bf Abstract.} We develop a general formalism to study the renormalization group (RG) improved effective potential for renormalizable gauge theories ---including ma…
On the instability of the vacuum in multidimensional scalar theories
E. Elizalde, K. Kirsten, Yu. Kubyshin
The 1-loop effective potential in a scalar theory with quartic interaction on the space for is calculated and is shown to be unbounded from below. This i…
Schwinger-Dyson Equations in 2D Induced Gravity in Covariant Gauges
E. Elizalde, S. D. Odintsov, Yu. I. Shil'nov
We formulate the Schwinger-Dyson equations in the ladder approximation for 2D induced quantum gravity with fermions using covariant gauges of harmonic type. It is shown that these…
Effective Lagrangian and the back-reaction problem in a self-interacting scalar theory in curved spacetime
Emilio Elizalde, Klaus Kirsten, Sergei Odintsov
A derivation of the one-loop effective Lagrangian in the self-interacting scalar theory, in slowly varying gravitational fields, is presented (using -regularization and h…