The heat kernel expansion is a very convenient tool for studying one-loop divergences,
anomalies and various asymptotics of the effective action. The aim of this report is to collect …

We review the approach to the Standard Model of particle interactions based on spectral
noncommutative geometry. The paper is (nearly) self-contained and presents both the …

A bstract In the context of the spectral action and the noncommutative geometry approach to
the standard model, we build a model based on a larger symmetry. With this grand symmetry …

In this paper, we study a special type of cutoff regularization in the coordinate
representation. We show how this approach unites such concepts and properties as an …

This article deals with two main topics. One is odd parity trace anomalies in Weyl fermion
theories in a 4d curved background, the second is the introduction of axial gravity. The …

The low-energy lagrangian for light pseudoscalar mesons is obtained from chiral symmetry
breaking components of the effective action of QCD. The lagrangian is essentially …

We outline, test, and apply a new scheme for nonperturbative analyses of quantized field
systems in contact with dynamical gravity. While gravity is treated classically in the present …

We use a numerical method, the finite-mode approach, to study inhomogeneous
condensation in effective models for QCD in a general framework. Former limitations of …

We construct mass terms for the ghost and antighost in the bosonic string which preserve
coordinate BRST invariance. This allows us to compute the Weyl and ghost number …

In a theory of a Dirac fermion field coupled to a metric-axial-tensor (MAT) background, using
a Schwinger-DeWitt heat kernel technique, we compute non-perturbatively the two (odd …