ar X iv : h ep - t h / 96 05 18 3 v 1 2 6 M ay 1 99 6 SUNY - NTG - 96 / 29 Finite volume partition functions and Itzykson - Zuber integrals

ar X iv : h ep - t h / 97 04 05 6 v 1 7 A pr 1 99 7 SUNY - NTG - 97 / 11 Universality of Correlation Functions in Random Matrix Models of

We demonstrate the universality of the spectral correlation functions of a QCD inspired random matrix model that consists of a random part having the chiral structure of the QCD Dirac operator and a deterministic part which describes a schematic temperature dependence. We calculate the correlation functions analytically using the technique of Itzykson-Zuber integrals for arbitrary complex super...

ar X iv : h ep - p h / 96 05 28 2 v 1 1 1 M ay 1 99 6 TWO TOPICS IN PARTICLE - ANTIPARTICLE MIXING

ar X iv : h ep - p h / 96 05 44 0 v 1 3 0 M ay 1 99 6 LTH 372 hep - ph / 9605440 The three - loop SSM β - functions

We present the supersymmetric standard model three-loop β-functions for gauge and Yukawa couplings and consider the effect of three-loop corrections on the standard running

ar X iv : h ep - t h / 96 11 04 5 v 1 7 N ov 1 99 6 Multiloop Feynman Integrals in the Worldline Approach ∗

We explain the concept of worldline Green functions on classes of multiloop graphs. The QED β – function and the 2-loop Euler-Heisenberg Lagrangian are discussed for illustration. HD-THEP-96/44 HUB-EP-96/29 ∗Talk presented by M.G.Schmidt at the Dubna Joint Meeting: International Seminar on Path Integrals: Theory and Applications, and 5th International Conference on Path Integrals from meV to Me...

ar X iv : h ep - t h / 96 05 18 9 v 2 2 9 M ay 1 99 6 Preprint No . IP

A 'differential measure' is used to cast our calculus for the group SU (3) into a form similar to Schwinger's boson operator calculus for the group SU (2). It is then applied to compute (i) the inner product between the basis states and (ii) an algebraic formula for the Clebsch-Gordan coefficients. These were obtained earlier by us using Gaussian integration techniques.