ar X iv : h ep - t h / 04 02 04 3 v 1 5 F eb 2 00 4 Nonperturbative heat kernel and nonlocal effective action ∗

ar X iv : h ep - t h / 04 02 04 3 v 2 1 2 Fe b 20 04 Nonperturbative heat kernel and nonlocal effective action ∗

We present an overview of recent nonperturbative results in the theory of heat kernel and its late time asymptotics responsible for the infrared behavior of quantum effective action for massless theories. In particular, we derive the generalization of the Coleman-Weinberg potential to physical situations when the field is not homogeneous throughout the whole spacetime. This generalization repre...

ar X iv : h ep - t h / 02 04 19 9 v 3 3 F eb 2 00 4 HOLONOMY ON D - BRANES

This paper shows how to construct anomaly free world sheet actions in string theory with D-branes. Our method is to use Deligne cohomology and bundle gerbe theory to define geometric objects which are naturally associated to D-branes and connections on them. The holonomy of these connections can be used to cancel global anomalies in the world sheet action.

ar X iv : h ep - p h / 04 02 19 0 v 2 2 6 M ay 2 00 4 1 Pentaquarks in the 10 F - and 10 F - plets

ar X iv : h ep - t h / 02 11 04 8 v 1 7 N ov 2 00 2 Inflation , Quantum Cosmology and the Anthropic Principle 1

ar X iv : h ep - t h / 01 02 04 8 v 1 9 F eb 2 00 1 Electroweak Theory and Noncommutative Geometry

The noncommutative generalisation of the standard electroweak model due to Balakrishna, Gürsey and Wali is formulated in terms of the derivations Der 2 (M 3) of a three dimensional representation of the su(2) Lie algebra of weak isospin. A light Higgs boson of mass about 130 GeV, together with four very heavy scalar bosons are predicted.