1Department of Physics, Harvard University, Cambridge MA 02138, USA. 2International Centre for Theoretical Sciences, TIFR, IISc Campus, Bangalore 560012, India. 3Harish-Chandra Research Institute, Jhunsi, Allahabad 211019, India. 4School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA. 5Department of Physics & Astronomy and Guelph-Waterloo Physics Institute, Universi...

We examine the fixed point behaviour of Yukawa couplings in supersymmetric theories with varying numbers of dimensions. We show that Pendleton-Ross fixed point behaviour is greatly amplified in the MSSM with no extra dimensions and 4 extra 5 + 5 multiplets or the MSSM with one extra large dimension and 3 extra 5+5 multiplets. We also show that power law running in models with large extra dimens...

A bstract We compute the ZZ annulus one-point function of cosmological constant operator in non-critical string theory, regulating divergences from boundaries moduli space using field theory. identify a subtle issue previous analysis these divergences, which was done context c = 1 and where it had led to mismatch with prediction dual matrix quantum mechanics. After fixing this issue, we find pr...

We investigate the phase structure of non-commutative scalar field theories and find evidence for ordered phases which break translation invariance. A self-consistent oneloop analysis indicates that the transition into these ordered phases is first order. The phase structure and the existence of scaling limits provides an alternative to the structure of counter-terms in determining the renormal...

Consider a quadratic rational self-map of the Riemann sphere such that one critical point is periodic of period 2, and the other critical point lies on the boundary of its immediate basin of attraction. We will give explicit topological models for all such maps. We also discuss the corresponding parameter picture.

a three-parameter cubic equation of state has been proposed for predicting pvt of pure refrigerantssuch as r236ea, r236fa, r245fa, r245ca, r218, r227ea, and r717, from freezing point up to critical pointtemperature and pressures up 650 atm. we explore the theory of the equation of state from the view pointof ihm–song–mason (ism) equation of state, which has been derived on the basis of statisti...

This paper presents a unified perspective on the results of two recent works (C. Buragohain and S. Sachdev cond-mat/9811083 and S. Sachdev condmat/9810399) along with additional background. We describe the low frequency, non-zero temperature, order parameter relaxational dynamics of a number of systems in the vicinity of a quantum critical point. The dynamical correlations are properties of the...

We describe a new algebraic technique for enumerating self-avoiding walks on the rectangular lattice. The computational complexity of enumerating walks of N steps is of order 3 N/4 times a polynomial in N , and so the approach is greatly superior to direct counting techniques. We have enumerated walks of up to 39 steps. As a consequence, we are able to accurately estimate the critical point, cr...