scholarly journals QCD Thermodynamics on the Lattice

2013 ◽  
Vol 2013 ◽  
pp. 1-26 ◽  
Author(s):  
Sayantan Sharma
Keyword(s):  
Gauge Theory ◽  
Lattice Theory ◽  
Lattice Gauge Theory ◽  
Heavy Ion ◽  
Heavy Ion Experiments ◽  
Lattice Gauge ◽  
Remarkable Progress ◽  
Made In

A remarkable progress has been made in the understanding of the hot and dense QCD matter using lattice gauge theory. The issues which are very well understood as well as those which require both conceptual and algorithmic advances are highlighted. The recent lattice results on QCD thermodynamics which are important in the context of the heavy ion experiments are reviewed. Instances of greater synergy between the lattice theory and the experiments in the recent years are discussed where lattice results could be directly used as benchmarks for experiments, and results from the experiments would be a crucial input for lattice computations.

scholarly journals Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond N-ality

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Mendel Nguyen ◽  
Yuya Tanizaki ◽  
Mithat Ünsal
Keyword(s):  
Gauge Theory ◽  
Gauge Group ◽  
Lattice Theory ◽  
Lattice Gauge Theory ◽  
Global Symmetry ◽  
Leading Order ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Lattice Gauge ◽  
Abelian Lattice

Abstract We study a 3d lattice gauge theory with gauge group U(1)N−1 ⋊ SN, which is obtained by gauging the SN global symmetry of a pure U(1)N−1 gauge theory, and we call it the semi-Abelian gauge theory. We compute mass gaps and string tensions for both theories using the monopole-gas description. We find that the effective potential receives equal contributions at leading order from monopoles associated with the entire SU(N) root system. Even though the center symmetry of the semi-Abelian gauge theory is given by ℤN, we observe that the string tensions do not obey the N-ality rule and carry more detailed information on the representations of the gauge group. We find that this refinement is due to the presence of non-invertible topological lines as a remnant of U(1)N−1 one-form symmetry in the original Abelian lattice theory. Upon adding charged particles corresponding to W-bosons, such non-invertible symmetries are explicitly broken so that the N-ality rule should emerge in the deep infrared regime.

scholarly journals Biological Lattice Gauge Theory as Modeling of Quantum Neural Networks

2018 ◽  
Vol 10 (1) ◽  
pp. 23
Author(s):  
Yi-Fang Chang
Keyword(s):  
Field Theory ◽  
Neural Networks ◽  
Gauge Theory ◽  
Lattice Theory ◽  
Lattice Gauge Theory ◽  
Helical Structure ◽  
Gauge Field Theory ◽  
Quantum Field ◽  
Double Helical Structure ◽  
Lattice Gauge

Based on quantum biology and biological gauge field theory, we propose the biological lattice gauge theory as modeling of quantum neural networks. This method applies completely the same lattice theory in quantum field, but, whose two anomaly problems may just describe the double helical structure of DNA and violated chiral symmetry in biology. Further, we discuss the model of Neural Networks (NN) and the quantum neutral networks, which are related with biological loop quantum theory. Finally, we research some possible developments on described methods of networks by the extensive graph theory and their new mathematical forms.

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