Volume dependence of Fisher ’ s zeros

نویسندگان

  • Daping Du
  • Yuzhi Liu
چکیده

We study the location of the partition function zeros in the complex β plane (Fisher’s Zeros) for SU(2) lattice gauge theory on L4 lattices. We discuss recent attempts to locate complex zeros for L = 4 and 6. We compare results obtained using various polynomial approximations of the logarithm of the density of states and a straightforward MC reweighting. We conclude that the method based on a combination of discrete Chebyshev orthogonality and patching plaquette distributions at different β provides the more reliable estimates.

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 : 0 81 0 . 17 92 v 1 [ he p - la t ] 1 0 O ct 2 00 8 Volume dependence of Fisher ’ s zeros

We study the location of the partition function zeros in the complex β plane (Fisher’s Zeros) for SU(2) lattice gauge theory on L4 lattices. We discuss recent attempts to locate complex zeros for L = 4 and 6. We compare results obtained using various polynomial approximations of the logarithm of the density of states and a straightforward MC reweighting. We conclude that the method based on a c...

متن کامل

Some compact generalization of inequalities for polynomials with prescribed zeros

‎Let $p(z)=z^s h(z)$ where $h(z)$ is a polynomial‎ ‎of degree at most $n-s$ having all its zeros in $|z|geq k$ or in $|z|leq k$‎. ‎In this paper we obtain some new results about the dependence of $|p(Rz)|$ on $|p(rz)| $ for $r^2leq rRleq k^2$‎, ‎$k^2 leq rRleq R^2$ and for $Rleq r leq k$‎. ‎Our results refine and generalize certain well-known polynomial inequalities‎.

متن کامل

Partition function zeros of the one - dimensional Potts model : The recursive method

The Yang-Lee, Fisher and Potts zeros of the one-dimensional Q-state Potts model are studied using the theory of dynamical systems. An exact recurrence relation for the partition function is derived. It is shown that zeros of the partition function may be associated with neutral fixed points of the recurrence relation. Further, a general equation for zeros of the partition function is found and ...

متن کامل

ar X iv : 1 10 7 . 57 64 v 1 [ m at h . D S ] 2 8 Ju l 2 01 1 LEE - YANG - FISHER ZEROS FOR DHL AND 2 D RATIONAL DYNAMICS

In a classical work of the 1950’s, Lee and Yang proved that for fixed nonnegative temperature, the zeros of the partition functions of a ferromagnetic Ising model always lie on the unit circle in the complex magnetic field. Zeros of the partition function in the complex temperature were then considered by Fisher, when the magnetic field is set to zero. Limiting distributions of Lee-Yang and of ...

متن کامل

Lee-yang-fisher Zeros for Dhl and 2d Rational Dynamics, Ii. Global Pluripotential Interpretation

In a classical work of the 1950’s, Lee and Yang proved that for fixed nonnegative temperature, the zeros of the partition functions of a ferromagnetic Ising model always lie on the unit circle in the complex magnetic field. Zeros of the partition function in the complex temperature were then considered by Fisher, when the magnetic field is set to zero. Limiting distributions of Lee-Yang and of ...

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 2008