G（2）Higgs模型的Phase diagram和G（2）- QCD
Phase diagram of the G(2) Higgs model and G(2)-QCD
摘要：
本文研究了基于最小例外单李群G（2）的规范理论。我们考虑的第一个模型是G（2）Yang-Mills耦合到基本希格斯场。在4个时空维度，我们探索的理论的相图，表明在较大的希格斯质量的一阶退禁闭相变变成了一个交叉，因此连接的低温限制相与高温退禁闭相。第二个模型是G（2）Yang-Mills耦合到基本费米子。它与QCD，特别是费米子重子有许多共同的特征，但由于没有费米子符号问题，我们可以用Monte Carlo方法研究它，即使在低温和重子密度很高的情况下。第一个结果小格。
英文摘要：
We investigate gauge theories based on the smallest exceptional simple lie group G(2). Our first model considered here is G(2) Yang-Mills coupled to a fundamental Higgs field. In 4 spacetime dimensions we explore the phase diagram of the theory, showing that at larger Higgs masses the first order deconfinement phase transition turns into a crossover and therefore connects the low temperature confined phase with the high temperature deconfined phase. The second model investigated is G(2) Yang-Mills coupled to fundamental fermions. It shares many features with QCD, especially fermionic baryons, but due to the absence of the fermion sign problem we can investigate this theory with Monte Carlo techniques even at low temperature and high baryonic density. First results on small lattices are presented.
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