/ 0 20 80 02 v 1 1 A ug 2 00 2 The chemical potential in the transfer matrix and in the path integral formulation of QCD on a lattice Fabrizio Palumbo
نویسنده
چکیده
We define the chemical potential as the Lagrange multiplier of the baryon charge operator in the transfer matrix formalism of QCD on a lattice. Transforming the partition function into an euclidean path integral we get the Hasenfratz-Karsh action both for Wilson and Kogut-Susskind fermions. In the latter case the chemical potential in the spin-diagonal basis is half that in the flavour basis. Some open problems in the spin-diagonal basis are pointed out. ∗This work has been partially supported by EEC under TMR contract ERB FMRXCT96-0045
منابع مشابه
ar X iv : 0 80 8 . 06 72 v 1 [ he p - ph ] 5 A ug 2 00 8 1 Status of Lattice Studies of the QCD Phase Diagram
Determining the QCD phase diagram is a pressing task in view of its relevance for nuclear and astro-particle physics programmes. We review the current status of lattice calculations of the phase diagram in the (T, μB)-plane for baryon chemical potentials μB < ∼ 500 MeV. At μB = 0, simulations of staggered fermion actions predict the quark hadron transition to be a crossover in the continuum lim...
متن کاملar X iv : 0 80 7 . 40 80 v 1 [ he p - ph ] 2 5 Ju l 2 00 8 Strongly Coupled Quark - Gluon Plasma : Equation of State near T c ∗
We test the quark mass dependence implemented in the quasiparticle dispersion relations of our quasiparticle model for the QCD equation of state by comparing with recently available lattice QCD data near Tc employing almost physical quark masses. In addition, we emphasize the capability of our model to successfully describe lattice QCD results for imaginary chemical potential and to analyticall...
متن کاملar X iv : 0 70 8 . 43 51 v 1 [ he p - th ] 3 1 A ug 2 00 7 A path integral leading to higher - order
We consider a simple modification of standard phase-space path integrals and show that it leads in configuration space to Lagrangians depending also on accelerations. Phase-space path integrals usually take the form [1]
متن کاملX iv : n uc l - th / 0 11 10 82 v 1 2 9 N ov 2 00 1 Lattice Study of the High Density State of SU ( 2 ) - QCD
We investigate high density state of SU(2) QCD by using Lattice QCD simulation with Wilson fermions. The ratio of fermion determinants is evaluated at each step of the Metropolis link update by Woodbury formula. At β = 0.7, and κ = 0.150, we calculate the baryon number density, the Polyakov lines, and the energy density of gluon sector with chemical potential μ=0 to 0.8 on the 43 × 12 lattice. ...
متن کامل0 50 80 24 v 1 2 6 A ug 2 00 5 Spontaneous chiral - symmetry breaking of lattice QCD with massless dynamical quarks ∗
One of the most challenging issues in QCD is the investigation of spontaneous chiralsymmetry breaking, which is characterized by the non-vanishing chiral condensate when the bare fermion mass is zero. In standard methods, one has to perform expensive lattice simulations at multiple bare quark masses, and employ some modeled function to extrapolate the data to the chiral limit. This paper applie...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008