scholarly journals Diagrammatic strong coupling expansion of a U(1) lattice model in the Fourier basis

2021 ◽  
Vol 104 (9) ◽  
Author(s):  
Afsaneh Kianfar ◽  
Amir H. Fatollahi
Keyword(s):  
Strong Coupling ◽  
Lattice Model ◽  
Strong Coupling Expansion ◽  
Fourier Basis

VORTICES IN THE LATTICE MODEL OF PLANAR NEMATIC

1991 ◽  
Vol 05 (04) ◽  
pp. 647-657 ◽  
Author(s):  
D.V. KHVESHCHENKO ◽  
YA. I. KOGAN ◽  
S.K. NECHAEV
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Strong Coupling ◽  
Lattice Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Strong Coupling Expansion ◽  
Theoretical Description ◽  
New Type

The vortices in the planar nematic are investigated using a field-theoretical description in terms of RP2 σ-model. In the limit of strong-coupling expansion the vortices interaction considered in the framework of mean-field theory describes a new type of phase transition.

INDICATIONS OF A ΔI=1/2 RULE IN THE STRONG COUPLING REGIME

1988 ◽  
Vol 03 (06) ◽  
pp. 1385-1412
Author(s):  
IAN G. ANGUS
Keyword(s):  
Lattice Qcd ◽  
Strong Coupling ◽  
Computer Algebra ◽  
Free Parameter ◽  
Hamiltonian Formalism ◽  
Strong Coupling Expansion ◽  
Calculation Scheme ◽  
Strong Coupling Regime ◽  
Weak Decays ◽  
The One

We will attempt to understand the ΔI=1/2 pattern of the nonleptonic weak decays of the kaons. The calculation scheme employed is the Strong Coupling Expansion of lattice QCD. Kogut-Susskind fermions are used in the Hamiltonian formalism. We will describe in detail the methods used to expedite this calculation, all of which was done by computer algebra. The final result is very encouraging. Even though an exact interpretation is clouded by the presence of irrelevant operators, and questions of lattice artifacts, a signal of the ΔI=1/2 rule appears to be observable. With an appropriate choice of the one free parameter, enhancements greater than those observed experimentally can be obtained. We also point out a number of surprising results which we turn up in the course of the calculation.

scholarly journals High-order symbolic strong-coupling expansion for the Bose-Hubbard model

2018 ◽  
Vol 98 (24) ◽  
Author(s):  
Tao Wang ◽  
Xue-Feng Zhang ◽  
Chun-Feng Hou ◽  
Sebastian Eggert ◽  
Axel Pelster
Keyword(s):  
Hubbard Model ◽  
Strong Coupling ◽  
Strong Coupling Expansion ◽  
High Order
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