Unitary Transformations in Lattice Gauge Theory with Fermions and the Meson Spectrum

1984 ◽  
Vol 3 (5) ◽  
pp. 575-583 ◽  
Author(s):  
Guo Shuo-hong ◽  
Liu Jin-ming ◽  
Chen Qi-zhou ◽  
Hu Lian
2019 ◽  
Author(s):  
Jong-Wan Lee ◽  
Ed Bennett ◽  
Deog Ki Hong ◽  
C.-J. David Lin ◽  
Biagio Lucini ◽  
...  

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Margarita García Pérez ◽  
Antonio González-Arroyo ◽  
Masanori Okawa

Abstract We present the result of our computation of the lowest lying meson masses for SU(N) gauge theory in the large N limit (with Nf /N → 0). The final values are given in units of the square root of the string tension, and with errors which account for both statistical and systematic errors. By using 4 different values of the lattice spacing we have seen that our results scale properly. We have studied various values of N (169, 289 and 361) to monitor the N-dependence of the most sensitive quantities. Our methodology is based upon a first principles approach (lattice gauge theory) combined with large N volume independence. We employed both Wilson fermions and twisted mass fermions with maximal twist. In addition to masses in the pseudoscalar, vector, scalar and axial vector channels, we also give results on the pseudoscalar decay constant and various remormalization factors.


Author(s):  
Arata Yamamoto

Abstract We study the quantum simulation of Z2 lattice gauge theory in 2+1 dimensions. The dual variable formulation, the so-called Wegner duality, is utilized for reducing redundant gauge degrees of freedom. The problem of artificial charge unconservation is resolved for any charge distribution. As a demonstration, we simulate the real-time evolution of the system with two static electric charges, i.e., with two temporal Wilson lines. Some results obtained by the simulator (with no hardware noise) and the real device (with sizable hardware noise) of a quantum computer are shown.


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