Strong coupling gauge theory, quantum spin systems and the spontaneous breaking of chiral symmetry

1992 ◽  
Vol 297 (1-2) ◽  
pp. 175-180 ◽  
Author(s):  
E. Langmann ◽  
G.W. Semenoff
Keyword(s):  
Gauge Theory ◽  
Strong Coupling ◽  
Chiral Symmetry ◽  
Quantum Spin ◽  
Spin Systems ◽  
Spontaneous Breaking ◽  
Quantum Spin Systems

scholarly journals Quantum spin systems and supersymmetric gauge theories. Part I

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Norton Lee ◽  
Nikita Nekrasov
Keyword(s):  
Gauge Theory ◽  
Spin Chain ◽  
Gauge Theories ◽  
Surface Defects ◽  
Toda Chain ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Supersymmetric Gauge Theories ◽  
Supersymmetric Gauge

Abstract The relation between supersymmetric gauge theories in four dimensions and quantum spin systems is exploited to find an explicit formula for the Jost function of the N site $$ \mathfrak{sl} $$ sl 2X X X spin chain (for infinite dimensional complex spin representations), as well as the SLN Gaudin system, which reduces, in a limiting case, to that of the N-particle periodic Toda chain. Using the non-perturbative Dyson-Schwinger equations of the supersymmetric gauge theory we establish relations between the spin chain commuting Hamiltonians with the twisted chiral ring of gauge theory. Along the way we explore the chamber dependence of the supersymmetric partition function, also the expectation value of the surface defects, giving new evidence for the AGT conjecture.

scholarly journals Quantum Spin Systems at Positive Temperature

2006 ◽  
Vol 269 (3) ◽  
pp. 611-657 ◽  
Author(s):  
Marek Biskup ◽  
Lincoln Chayes ◽  
Shannon Starr
Keyword(s):  
Quantum Spin ◽  
Spin Systems ◽  
Positive Temperature ◽  
Quantum Spin Systems

High-field ESR in one-dimensional quantum spin systems

2000 ◽  
Vol 284-288 ◽  
pp. 1625-1626 ◽  
Author(s):  
Y Ajiro ◽  
T Asano ◽  
Y Inagaki ◽  
J.P Boucher ◽  
S Luther ◽  
...  
Keyword(s):  
High Field ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
One Dimensional ◽  
High Field Esr

scholarly journals Measures of macroscopicity for quantum spin systems

2012 ◽  
Vol 14 (9) ◽  
pp. 093039 ◽  
Author(s):  
Florian Fröwis ◽  
Wolfgang Dür
Keyword(s):  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems

Dissipative dynamics for quantum spin systems on a lattice

1998 ◽  
Vol 31 (8) ◽  
pp. 2045-2056 ◽  
Author(s):  
Adam W Majewski ◽  
Robert Olkiewicz ◽  
Boguslaw Zegarlinski
Keyword(s):  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Dissipative Dynamics
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