Towards a Dual Representation of Lattice QCD
Nov 6, 20187 pages
Published in:
- PoS LATTICE2018 (2018) 224
Contribution to:
- , 224
- Lattice 2018
- Published: Nov 6, 2018 by SISSA
e-Print:
- 1811.02817 [hep-lat]
DOI:
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Abstract: (SISSA)
Our knowledge about the QCD phase diagram at finite baryon chemical potential is limited by the well known sign problem. The path integral measure, in the standard determinantal approach, becomes complex at finite so that standard Monte Carlo techniques cannot be directly applied. As the sign problem is representation dependent, by a suitable choice of the fundamental degrees of freedom that parameterize the partition function, it can get mild enough so that reweighting techniques can be used. A successful formulation, capable to tame the sign problem, is known since decades in the limiting case , where performing the gauge integration first, gives rise to a dual formulation in terms of color singlets (MDP formulation). Going beyond the strong coupling limit represents a serious challenge as the gauge integrals involved in the computation are only partially known analytically and become strongly coupled for . We will present explict formulae for all the integral relevant for gauge theories discretised a la Wilson, and will discuss how they can be used to obtain a positive dual formulation, valid for all , for pure Yang Mills theory.Note:
- 7 pages, 1 figure, proceedings to talk presented at 36th annual International Symposium on Lattice Field Theory, 22-28 July 2018, East Lansing, MI, USA
- quantum chromodynamics: critical phenomena
- approximation: strong coupling
- gauge field theory: Yang-Mills
- gauge field theory: discrete
- representation: dependence
- path integral: measure
- potential: chemical
- duality: transformation
- color: singlet
- lattice field theory
References(10)
Figures(1)
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