Hamiltonian superfield formalism with N supercharges

An action principle that applies uniformly to any number N of supercharges is proposed. We perform the reduction to the N=0 partition function by integrating out superpartner fields. As a new feature for theories of extended supersymmetry, the canonical Pfaffian measure factor is a result of a Gaussian integration over a superpartner. This is mediated through an explicit choice of direction n^a in the θ-space, which the physical sector does not depend on. Also, we re-interpret the metric g^ab in the Susy algebra [D^a,D^b]g^ab∂_t as a symplectic structure on the fermionic θ-space. This leads to a superfield formulation with a general covariant θ-space sector.     

A compensating functional method in the massive Yang-Mills theory

In the massive and massless Yang-Mills theories the generating functional (the S-matrix) independence of the gauge parameter is provided on the mass shell without introducing an extra degree of freedom (gauge group integration).     

Catalytic Activity of Calcium-Deficient Hydroxyl-Apatites

Abstract

Calcium-deficient hydroxylapatites (CDHA) of the composition Ca_10-x (HPO₄)_x(PO₄)_6-x(OH)_2-x where 06×06 are widely used as catalysts in processes like alcohol dehydration, decomposition of acetals, etc.     

BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets

We establish the general structure of the BRST-invariant algebra of constraints in its commutator and antibracket forms via the formulation of algebra-generating equations in a supplementally extended phase space. New ghost-type variables behave as fields and antifields with respect to quantum antibrackets. The explicit form of the BRST-invariant gauge algebra is given in detail for rank-one theories with a Weyl- and a Wick-ordered ghost sector. We construct a fixed-gauge unitarizing Hamiltonian and show that the formalism is physically equivalent to the standard BRST–BFV approach.