Hamiltonian Approach to QCD at Finite Temperature †
Abstract
:1. Introduction
2. Finite Temperature from Compactification of a Spatial Dimension
- invariance of the Euclidean Lagrange density, which should hold for any relativistically invariant theory. It does, however, not hold for a non-relativistic many-body system.
- The absence of massless modes, i.e., the existence of a mass gap on the manifold . This is the generic case. For instance, QCD in the confining phase is known to develop such a gap, and this follows also self-consistently from the results in the next section. Extra caution may be required at temperatures above the deconfinement phase transition, where we can check our findings against thermal perturbation theory.
3. Hamiltonian Approach to QCD in Coulomb Gauge
3.1. Yang–Mills Sector
3.2. Quark Sector
4. QCD at Finite Temperatures
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
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1. | We thank the anonymous referee for pointing out this implicit assumption. |
2. | Although we only consider a single massless quark flavor in this section, the results easily generalize to the case of massless flavors. In fact, the only change in this case would be an additional factor in the chiral condensate, which drops out when forming the ratios in Figure 7 and Figure 8. The results of this section are therefore independent of (as long as the quark flavors are massless), and it is sufficient to study . |
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Reinhardt, H.; Campagnari, D.; Quandt, M. Hamiltonian Approach to QCD at Finite Temperature. Universe 2019, 5, 40. https://doi.org/10.3390/universe5020040
Reinhardt H, Campagnari D, Quandt M. Hamiltonian Approach to QCD at Finite Temperature. Universe. 2019; 5(2):40. https://doi.org/10.3390/universe5020040
Chicago/Turabian StyleReinhardt, Hugo, Davide Campagnari, and Markus Quandt. 2019. "Hamiltonian Approach to QCD at Finite Temperature" Universe 5, no. 2: 40. https://doi.org/10.3390/universe5020040
APA StyleReinhardt, H., Campagnari, D., & Quandt, M. (2019). Hamiltonian Approach to QCD at Finite Temperature. Universe, 5(2), 40. https://doi.org/10.3390/universe5020040