arXiv subjects

P. van Nieuwenhuizen

Publications and source records attributed to P. van Nieuwenhuizen.

39 records · Page 3Linked to original sources

arXiv1993

Quantum gauging from classical gauging of nonlinear algebras

We extend the theory of the gauging of classical quadratically nonlinear algebras without a central charge but with a coset structure, to the quantum level. Inserting the minimal anomalies into the classical transformation rules of the currents introduces further quantum corrections to the classical transformation rules of the gauge fields and currents which additively renormalize the structure constants. The corresponding Ward identities are the c -> infinity limit of the full quantum Ward identities, and reveal that the c -> infinity limit of the quantum gauge algebra closes on fields and currents. Two examples are given.

hep-th↗

arXiv1992

The regularized BRST Jacobian of pure Yang-Mills theory

The Jacobian for infinitesimal BRST transformations of path integrals for pure Yang-Mills theory, viewed as a matrix $\unity +ΔJ$ in the space of Yang-Mills fields and (anti)ghosts, contains off-diagonal terms. Naively, the trace of $ΔJ$ vanishes, being proportional to the trace of the structure constants. However, the consistent regulator $\cR$, constructed from a general method, also contains off-diagonal terms. An explicit computation demonstrates that the regularized Jacobian $Tr\ ΔJ\exp -\cR /M^2$ for $M^2\rightarrow \infty $ is the variation of a local counterterm, which we give. This is a direct proof at the level of path integrals that there is no BRST anomaly.

hep-th↗

arXiv1992

Induced (N,0) supergravity as a constrained Osp(N,2) WZWN model and its effective action

A chiral $(N,0) $ supergravity theory in d=2 dimensions for any $N$ and its induced action can be obtained by constraining the currents of an Osp(N$|$2) WZWN model. The underlying symmetry algebras are the nonlinear SO(N) superconformal algebras of Knizhnik and Bershadsky. The case $N=3$ is worked out in detail. We show that by adding quantum corrections to the classical transformation rules, the gauge algebra on gauge fields and currents closes. Integrability conditions on Ward identities are derived. The effective action is computed at one loop. It is finite, and can be obtained from the induced action by rescaling the central charge and fields by finite Z factors.

hep-th↗