scholarly journals Three-dimensional finite temperature Z2 gauge theory with tensor network scheme

2019 ◽  
Vol 2019 (8) ◽  
Author(s):  
Yoshinobu Kuramashi ◽  
Yusuke Yoshimura
2010 ◽  
Vol 836 (1-2) ◽  
pp. 91-99 ◽  
Author(s):  
P. Bialas ◽  
L. Daniel ◽  
A. Morel ◽  
B. Petersson

1991 ◽  
Vol 06 (39) ◽  
pp. 3591-3600 ◽  
Author(s):  
HIROSI OOGURI ◽  
NAOKI SASAKURA

It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue model itself may be related to an Euclidean gravity with a cosmological constant proportional to 1/k2, where q=e2πi/(k+2).


1985 ◽  
Vol 100 (3) ◽  
pp. 313-341 ◽  
Author(s):  
E. T. Tomboulis ◽  
L. G. Yaffe

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