Pomeranchuk 100 : RG LIMIT CYCLES Page 1 82 RG LIMIT CYCLES K. BULYCHEVA Institute
of Theoretical and Experimental Physics, Moscow 117218, Russia E-mail: bulycheva@itep.ru A …

A number of physical systems exhibit a particular form of asymptotic conformal invariance:
within a particular domain of distances, they are characterized by a long-range conformal …

We use a toy model to illustrate how to build effective theories for singular potentials. We
consider a central attractive 1/r2 potential perturbed by a 1/r4 correction. The power …

It has been noticed that for a large class of cosmological models, the gauge fixing of the time-
reparametrization invariance does not completely fix the clock. Instead, the system enjoys a …

We present a polymer quantization of the− λ∕ r 2 potential on the positive real line and
compute numerically the bound state eigenenergies in terms of the dimensionless coupling …

ABSTRACT A path-integral approach is used to study the spectral properties of the
generators of the SO (2, 1) symmetry of conformal quantum mechanics (CQM). In particular …

A bstract Singular potentials (the inverse-square potential, for example) arise in many
situations and their quantum treatment leads to well-known ambiguities in choosing …

The thermodynamics of black holes is shown to be directly induced by their near-horizon
conformal invariance. This behavior is exhibited using a scalar field as a probe of the black …

A bstract We apply point-particle effective field theory (PPEFT) to compute the leading shifts
due to finite-sized source effects in the Coulomb bound energy levels of a relativistic …

The singular behavior of conformal interactions is examined within a comparative analysis of
renormalization frameworks. The effective approach—inspired by the effective-field theory …