Variational estimate of the vacuum state of the SU(2) lattice gauge theory with a disordered trial wave function

1984 ◽  
Vol 29 (8) ◽  
pp. 1791-1794 ◽  
Author(s):  
David W. Heys ◽  
Daniel R. Stump
Keyword(s):  
Wave Function ◽  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Vacuum State ◽  
Trial Wave Function ◽  
Variational Estimate ◽  
Lattice Gauge

Vacuum wave function and mass gaps of U(1) lattice gauge theory in 2+1 dimensions

1996 ◽  
Vol 53 (3) ◽  
pp. 1523-1527 ◽  
Author(s):  
Xi-Yan Fang ◽  
Jin-Ming Liu ◽  
Shuo-Hong Guo
Keyword(s):  
Wave Function ◽  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Lattice Gauge

scholarly journals Vacuum State of Lattice Gauge Theory with Fermions in 2 + 1 Dimensions

1997 ◽  
Vol 12 (21) ◽  
pp. 3775-3786
Author(s):  
Hideyuki Abe
Keyword(s):  
Gauge Theory ◽  
Variational Method ◽  
Lower Energy ◽  
Lattice Gauge Theory ◽  
Vacuum State ◽  
Lattice Gauge

We investigate the vacuum state of the lattice gauge theory with fermions in 2 + 1 dimensions. The vacuum in the Hermite form for the fermion part is obtained; the vacuum in the unitary form has been proposed by Luo and Chen. It is shown that the Hermite vacuum has a lower energy than the unitary one through the variational method.

Fourth-order calculation of the vacuum wave function and mass gap of SU(2) lattice gauge theory in 2+1 dimensions

1994 ◽  
Vol 50 (5) ◽  
pp. 3564-3565 ◽  
Author(s):  
Qi-Zhou Chen ◽  
Shuo-Hong Guo ◽  
Wei-Hong Zheng ◽  
Xi-Yan Fang
Keyword(s):  
Wave Function ◽  
Gauge Theory ◽  
Fourth Order ◽  
Lattice Gauge Theory ◽  
Mass Gap ◽  
Lattice Gauge ◽  
Order Calculation

COUPLED CLUSTER EXPANSIONS FOR (2 + 1) DIMENSIONAL U(1) LATTICE GAUGE THEORY WITH IMPROVED HAMILTONIAN

2000 ◽  
Vol 15 (11n12) ◽  
pp. 737-745 ◽  
Author(s):  
XI-YAN FANG ◽  
SHUO-HONG GUO ◽  
JIN-MING LIU
Keyword(s):  
Wave Function ◽  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Cluster Method ◽  
Coupled Cluster ◽  
Coupled Cluster Method ◽  
Cluster Expansions ◽  
Lattice Gauge ◽  
Seventh Order

Using coupled cluster method, we calculate the vacuum wave function and the mass gaps of (2 + 1)-dimensional U(1) lattice gauge theory with improved Hamiltonian up to the seventh order. The results are compared with those from the unimproved Hamiltonian.

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