ar X iv : h ep - p h / 97 01 38 7 v 2 5 F eb 1 99 7 THE CHIRAL PHASE TRANSITION , RANDOM MATRIX MODELS , AND LATTICE DATA

نویسنده

  • H. A. WEIDENMÜLLER
چکیده

We present two pieces of evidence in support of the conjecture that the microscopic spectral density of the Dirac operator is a universal quantity. First, we compare lattice data to predictions from random matrix theory. Second, we show that the functional form of the microscopic spectral correlations remains unchanged in randommatrix models which take account of finite temperature. Furthermore, we present a random matrix model for the chiral phase transition in which all Matsubara frequencies are included.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : h ep - p h / 97 01 38 7 v 1 2 7 Ja n 19 97 THE CHIRAL PHASE TRANSITION , RANDOM MATRIX MODELS , AND LATTICE DATA

We present two pieces of evidence in support of the conjecture that the microscopic spectral density of the Dirac operator is a universal quantity. First, we compare lattice data to predictions from random matrix theory. Second, we show that the functional form of the microscopic spectral correlations remains unchanged in random matrix models which take account of finite temperature. Furthermor...

متن کامل

ar X iv : h ep - t h / 97 09 16 8 v 2 1 1 O ct 1 99 7 Zero curvature representation for classical lattice sine - Gordon equation via quantum R - matrix

Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4×4 R-matrix with certain vectors in its " quantum " space. Components of the vectors are identified with τ-functions of the model. This construction generalizes the known representation of M-operators in continuous time models in terms of Lax operators and cl...

متن کامل

ar X iv : h ep - p h / 97 10 39 4 v 1 1 7 O ct 1 99 7 The Heavy Hadron Spectrum

I discuss the spectrum of hadrons containing heavy quarks (b or c), and how well the experimental results are matched by theoretical ideas. Useful insights come from potential models and applications of Heavy Quark Symmetry and these can be compared with new numerical results from the ab initio methods of Lattice QCD.

متن کامل

ar X iv : h ep - p h / 96 05 38 4 v 1 2 3 M ay 1 99 6 On dual descriptions of intermittency in a jet ∗

Models of intermittent behaviour are usually formulated using a set of multiplicative random weights on a Cayley tree. However, inter-mittency in particle multiproduction from QCD jets is related to fragmentation of an additive quantum number, e.g. energy-momentum. We exhibit the non-trivial stochastic mapping between these additive and multiplicative cascading processes.

متن کامل

ar X iv : h ep - l at / 9 70 40 20 v 1 3 0 A pr 1 99 7 Potts Models on Feynman Diagrams

We investigate numerically and analytically Potts models on " thin " random graphs – generic Feynman diagrams, using the idea that such models may be expressed as the N → 1 limit of a matrix model. The thin random graphs in this limit are locally tree-like, in distinction to the " fat " random graphs that appear in the planar Feynman diagram limit, N → ∞, more familiar from discretized models o...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1995