Sugawara Model, Broken Symmetries, and Massless-Boson Fields

1970 ◽  
Vol 1 (12) ◽  
pp. 3290-3296 ◽  
Author(s):  
Y. Freundlich
Keyword(s):  
Broken Symmetries ◽  
Boson Fields ◽  
Massless Boson

Gauge-free quantization of massless boson fields

1975 ◽  
Vol 12 (8) ◽  
pp. 2237-2243
Author(s):  
Phillip W. Dennis
Keyword(s):  
Boson Fields ◽  
Massless Boson

Some covariant representations of massless boson fields

1981 ◽  
Vol 14 (9) ◽  
pp. 2479-2488 ◽  
Author(s):  
L Polley ◽  
G Reents ◽  
R F Streater
Keyword(s):  
Covariant Representations ◽  
Boson Fields ◽  
Massless Boson

Realistic model with dynamically broken symmetries

1981 ◽  
Vol 23 (7) ◽  
pp. 1637-1648 ◽  
Author(s):  
Bob Holdom
Keyword(s):  
Realistic Model ◽  
Broken Symmetries

A Rarita-Schwinger formalism for boson fields

1970 ◽  
Vol 68 (1) ◽  
pp. 89-104 ◽  
Author(s):  
M. L. Nack
Keyword(s):  
Boson Fields

scholarly journals Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications

2019 ◽  
Vol 10 (1) ◽  
pp. 337-356 ◽  
Author(s):  
Zi-Xiang Li ◽  
Hong Yao
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Hot Spot ◽  
High Temperature Superconductors ◽  
System Size ◽  
Many Body ◽  
Broken Symmetries ◽  
Sign Problem ◽  
Universal Quantum ◽  
Many Body Systems

Reliable simulations of correlated quantum systems, including high-temperature superconductors and frustrated magnets, are increasingly desired nowadays to further our understanding of essential features in such systems. Quantum Monte Carlo (QMC) is a unique numerically exact and intrinsically unbiased method to simulate interacting quantum many-body systems. More importantly, when QMC simulations are free from the notorious fermion sign problem, they can reliably simulate interacting quantum models with large system size and low temperature to reveal low-energy physics such as spontaneously broken symmetries and universal quantum critical behaviors. Here, we concisely review recent progress made in developing new sign-problem-free QMC algorithms, including those employing Majorana representation and those utilizing hot-spot physics. We also discuss applications of these novel sign-problem-free QMC algorithms in simulations of various interesting quantum many-body models. Finally, we discuss possible future directions of designing sign-problem-free QMC methods.

scholarly journals Gauge theory approach to branes and spontaneous symmetry breaking

2017 ◽  
Vol 29 (03) ◽  
pp. 1750009 ◽  
Author(s):  
A. A. Zheltukhin
Keyword(s):  
Gauge Theory ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Vector Fields ◽  
Theory Approach ◽  
Tensor Fields ◽  
Broken Symmetries ◽  
Goldstone Bosons ◽  
Dimensional Minkowski Space ◽  
Poincaré Symmetry

We discuss the gauge theory approach to consideration of the Nambu–Goldstone bosons as gauge and vector fields represented by the Cartan forms of spontaneously broken symmetries. The approach is generalized to describe the fundamental branes in terms of [Formula: see text]-dimensional worldvolume gauge and massless tensor fields consisting of the Nambu–Goldstone bosons associated with the spontaneously broken Poincaré symmetry of the [Formula: see text]-dimensional Minkowski space.

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