scholarly journals Lattice study of the two-dimensional Wess-Zumino model

2003 ◽  
Vol 68 (1) ◽  
Author(s):  
Simon Catterall ◽  
Sergey Karamov
Keyword(s):  
Two Dimensional ◽  
Zumino Model

Quantum corrections to the supersymmetry algebra

1990 ◽  
Vol 68 (12) ◽  
pp. 1377-1381
Author(s):  
D. G. C. McKeon
Keyword(s):  
Gauge Symmetry ◽  
Field Operator ◽  
Quantum Corrections ◽  
Supersymmetry Transformation ◽  
Two Dimensional ◽  
Supersymmetry Algebra ◽  
Equal Time ◽  
Majorana Spinor ◽  
Spinor Current ◽  
Zumino Model

The Bjorken–Johnson–Low technique is used to compute the equal time anticommutator of the spinor currents associated with the supersymmetry of a two-dimensional Wess–Zumino model containing a Majorana spinor, a scalar, and an auxiliary field. Operator regularization is used to compute radiative effects as this does not explicitly break the supersymmetry present in the classical Lagrangian. We find that the spinor current is not conserved, and that the algebra of the generators of the supersymmetry transformation is altered. This is analogous to what has been found in theories with a classical axial gauge symmetry.

scholarly journals A hamiltonian lattice study of the two-dimensional Wess-Zumino model

2003 ◽  
Vol 119 ◽  
pp. 891-893 ◽  
Author(s):  
Matteo Beccaria ◽  
Massimo Campostrini ◽  
Alessandra Feo
Keyword(s):  
Two Dimensional ◽  
Hamiltonian Lattice ◽  
Zumino Model

scholarly journals The two-dimensional,N=2 Wess-Zumino model on a cylinder

1988 ◽  
Vol 114 (1) ◽  
pp. 147-165 ◽  
Author(s):  
Arthur Jaffe ◽  
Andrzej Lesniewski ◽  
Jonathan Weitsman
Keyword(s):  
Two Dimensional ◽  
Zumino Model

scholarly journals The two-dimensional Wess-Zumino model in the Hamiltonian lattice formulation

2004 ◽  
Vol 129-130 ◽  
pp. 874-876 ◽  
Author(s):  
Matteo Beccaria ◽  
Massimo Campostrini ◽  
Alessandra Feo
Keyword(s):  
Two Dimensional ◽  
Hamiltonian Lattice ◽  
Zumino Model

scholarly journals Application of tensor network method to two dimensional lattice N = 1 Wess–Zumino model

2018 ◽  
Vol 175 ◽  
pp. 11019
Author(s):  
Ryo Sakai ◽  
Daisuke Kadoh ◽  
Yoshinobu Kuramashi ◽  
Yoshifumi Nakamura ◽  
Shinji Takeda ◽  
...  
Keyword(s):  
Majorana Fermions ◽  
Two Dimensional ◽  
Scalar Boson ◽  
Boson Systems ◽  
Dimensional Lattice ◽  
Sign Problem ◽  
Tensor Network ◽  
Network Method ◽  
Basic Ideas ◽  
Zumino Model

We study a tensor network formulation of the two dimensional lattice N = 1 Wess–Zumino model with Wilson derivatives for both fermions and bosons. The tensor renormalization group allows us to compute the partition function without the sign problem, and basic ideas to obtain a tensor network for both fermion and scalar boson systems were already given in previous works. In addition to improving the methods, we have constructed a tensor network representation of the model including the Yukawatype interaction of Majorana fermions and real scalar bosons. We present some numerical results.

scholarly journals Tensor network formulation for two-dimensional lattice $$ \mathcal{N} $$ = 1 Wess-Zumino model

2018 ◽  
Vol 2018 (3) ◽  
Author(s):  
Daisuke Kadoh ◽  
Yoshinobu Kuramashi ◽  
Yoshifumi Nakamura ◽  
Ryo Sakai ◽  
Shinji Takeda ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Dimensional Lattice ◽  
Tensor Network ◽  
Zumino Model

N = 2 two-dimensional Wess-Zumino model on the lattice

1983 ◽  
Vol 226 (1) ◽  
pp. 109-120 ◽  
Author(s):  
S. Elitzur ◽  
A. Schwimmer
Keyword(s):  
Two Dimensional ◽  
Zumino Model
Sign in / Sign up

Export Citation Format

Share Document