Yu.V. Novozhilov

Joint chiral and conformal bosonization in QCD and the linear sigma model

Abstract An effective action is derived by the bosonization method to describe non-perturbative processes in the QCD low-energy region. This region is defined by the quark spectral asymmetry or, equivalently, in terms of quark and gluon condensates. For a combination of chiral and dilaton fields the effective action resembles the linear sigma model with additional couplings. The dilaton mass is determined mainly by the gluon condensate.

Spectral Asymmetry, Condensates and the {QCD} Chiral Lagrangian

A chiral Lagrangian for massive pseudoscalar mesons is derived from the QCD-generating functional by the chiral bosonization method. The low energy region in the fermionic integral where chiral noninvariant quark fluctuations dominate, is described by two mass parameters — an invariant cutoff Λ and a spectral asymmetry M related to the gluon and quark condensates.

On the light-cone quantization of non-abelian gauge theory

The implications of periodic boundary conditions in the light-cone quantization of non-abelian fields are studied. Formulation of the theory in the singularity-free case is presented. Some consequences of field singularities are discussed.

Induced classical gravity

We review the induced-gravity approach according to which the Einstein gravity is a long-wavelength effect induced by underlying fundamental quantum fields due to the dynamical-scale symmetry breaking. It is shown that no ambiguities arise in the definition of the induced Newton and cosmological constants if one works with the path integral for fundamental fields in the low-scale region. The main accent is on a specification of the path integral which enables us to utilize the unitarity condition and thereby avoid ambiguities. Induced Einstein equations appear from the symmetry condition that the path integral of fundamental fields for a slowly varying metric is invariant under the local GL(4, R)-transformations of a tetrad, which contain the local Euclidean Lorentz, O(4)-rotations as a subgroup. The relationship to induced quantum gravity is briefly outlined.

Complete bosonization of quark currents or quantum theory completely based on anomalies

Abstract Using experience of chiral and conformal bosonization, conditions to be satisfied and the regularization scheme to be chosen in order to realize the program of complete bosonization are examined. Completely bosonized theory is the quantum theory which is completely based on anomalies.

Gauge fields and correspondence principle

A method is proposed for constructing gauge theories with Weyl fermions satisfying the correspondence principle. The additional terms in the Weinberg-Salam Lagrangian are found in an arbitrary gauge. The part played by the Higgs and Goldstone fields in the presence of anomalies is discussed.

Bosonization of the conformal anomaly and induced gravity

The aim of this paper is to develop an approach to induced gravity that makes it possible to solve the following problems: (a) identification of the low-energy region in the quantum functional integral over spinor fields in curved space; (b) the construction of an effective action containing terms with dimensional coefficients, as corresponds to the nature of the Einstein action. Terms with dimensional coefficients in the conformal anomaly and an effective low-energy action for gravitation are obtained.

Consistency of gauge theories with Weyl fermions

Abstract Starting from the non-abelian gauge theory with Weyl fermions we construct several examples of consistent gauge theories without anomaly by introducing scalar fields into the original theory. As a result, the Salam-Weinberg lagrangian in the unitary gauge emerges in a natural way. We calculate the scalar field interaction which is required by consistency when the Salam-Weinberg theory is considered in arbitrary gauge.

Gauge invariance and fock states

The Fock-space formulation is extended to nonabelian gauge theories. Using a kinematical potential instead of the Yang-Mills field, we construct invariant creation operators. Physical states are selected by the requirement that they remain invariant under a new gauge-invariant global transformation.

Spectrometry of quark states in QCD and roots for effective lagrangians

Abstract The mass-like asymmetry of the quark spectrum in the gluon vacuum is investigated. The meaning of the spectral density for quark states is clarified and its connection with the gluon condensate is established. The concept of a non-perturbative low-energy region is applied to stabilize the low-energy fermion vacuum. The exact equation for the averaged quark spectrum is derived. It reveals the non-perturbative features of the dynamical quark mass.