Towards a Dual Representation of Lattice QCD

Gagliardi G, Unger W (2018)
In: 36th International Symposium on Lattice Field Theory (Lattice 2018).

Konferenzbeitrag | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
Our knowledge about the QCD phase diagram at finite baryon chemical potential $\mu_{B}$ is limited by the well known sign problem. The path integral measure, in the standard determinantal approach, becomes complex at finite $\mu_{B}$ 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 $\beta\to 0$, 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 $\beta>0$. We will present explict formulae for all the integral relevant for ${\rm SU}(N)$ gauge theories discretised \`a la Wilson, and will discuss how they can be used to obtain a positive dual formulation, valid for all $\beta$, for pure Yang Mills theory.
Erscheinungsjahr
2018
Titel des Konferenzbandes
36th International Symposium on Lattice Field Theory (Lattice 2018)
Konferenz
The 36th Annual International Symposium on Lattice Field Theory - LATTICE2018
Konferenzort
East Lansing, MI, USA
Konferenzdatum
2018-07-22 – 2018-07-28
Page URI
https://pub.uni-bielefeld.de/record/2934710

Zitieren

Gagliardi G, Unger W. Towards a Dual Representation of Lattice QCD. In: 36th International Symposium on Lattice Field Theory (Lattice 2018). 2018.
Gagliardi, G., & Unger, W. (2018). Towards a Dual Representation of Lattice QCD. 36th International Symposium on Lattice Field Theory (Lattice 2018)
Gagliardi, G., and Unger, W. (2018). “Towards a Dual Representation of Lattice QCD” in 36th International Symposium on Lattice Field Theory (Lattice 2018).
Gagliardi, G., & Unger, W., 2018. Towards a Dual Representation of Lattice QCD. In 36th International Symposium on Lattice Field Theory (Lattice 2018).
G. Gagliardi and W. Unger, “Towards a Dual Representation of Lattice QCD”, 36th International Symposium on Lattice Field Theory (Lattice 2018), 2018.
Gagliardi, G., Unger, W.: Towards a Dual Representation of Lattice QCD. 36th International Symposium on Lattice Field Theory (Lattice 2018). (2018).
Gagliardi, Giuseppe, and Unger, Wolfgang. “Towards a Dual Representation of Lattice QCD”. 36th International Symposium on Lattice Field Theory (Lattice 2018). 2018.

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arXiv: 1811.02817

Inspire: 1702431

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