Cotter, Seamus (2015) Non-perturbative determination of Karsch Coefficients in 2 Colour QCD. PhD thesis, National University of Ireland Maynooth.

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Abstract

Lattice QCD can be used to study the QCD phase diagram at finite temperature and zero density. Non-zero density is implemented on the lattice using the chemical potential however this gives a possibility of a complex probability which means the statistical machinery normally used breaks down. Switching the gauge group from three colour to two colour avoids this problem. Simulating two colour QCD allows for investigation into the thermodynamic phase transitions of a theory which is similar to three colour QCD. Confinement and asymptotic freedom are observed, however the definitions for hadrons differ. To study the thermodynamics we use the derivative method which requires the determination of the Karsch coefficients. Previous studies determined these coefficients perturbatively however this led to negative values for pressure. Non-perturbative studies have proved difficult due to the computational cost and accuracy required. We attempt to determine these coefficients non-perturbatively and review possible improvements in setup and calculation. We finish with thermodynamic results for the pressure, energy density and trace anomaly.

Item Type:	Thesis (PhD)
Keywords:	Non-perturbative determination; Karsch Coefficients; 2 Colour QCD;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	8143
Depositing User:	IR eTheses
Date Deposited:	10 Apr 2017 11:23
URI:
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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