scholarly journals Low-energy effective theories of quantum spin and quantum link models

2001 ◽  
Vol 63 (8) ◽  
Author(s):  
B. Schlittgen ◽  
U.-J. Wiese
Keyword(s):  
Quantum Spin ◽  
Low Energy ◽  
Effective Theories ◽  
Quantum Link

scholarly journals The Swampland Conjectures: A Bridge from Quantum Gravity to Particle Physics

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 273
Author(s):  
Mariana Graña ◽  
Alvaro Herráez
Keyword(s):  
Effective Field Theories ◽  
Quantum Gravity ◽  
Particle Physics ◽  
Effective Field ◽  
Low Energy ◽  
Field Theories ◽  
Neutrino Masses ◽  
Higgs Potential ◽  
Photon Mass ◽  
Effective Theories

The swampland is the set of seemingly consistent low-energy effective field theories that cannot be consistently coupled to quantum gravity. In this review we cover some of the conjectural properties that effective theories should possess in order not to fall in the swampland, and we give an overview of their main applications to particle physics. The latter include predictions on neutrino masses, bounds on the cosmological constant, the electroweak and QCD scales, the photon mass, the Higgs potential and some insights about supersymmetry.

scholarly journals Low-energy operators in effective theories

2003 ◽  
Vol 68 (3) ◽  
Author(s):  
C. Felline ◽  
N. P. Mehta ◽  
J. Piekarewicz ◽  
J. R. Shepard
Keyword(s):  
Low Energy ◽  
Effective Theories

scholarly journals Renormalization group consistency and low-energy effective theories

2019 ◽  
Vol 6 (5) ◽  
Author(s):  
Jens Braun ◽  
Marc Leonhardt ◽  
Jan M. Pawlowski
Keyword(s):  
Renormalization Group ◽  
Mean Field ◽  
Bound State ◽  
Field Approximation ◽  
Low Energy ◽  
Mean Field Approximation ◽  
Quantum Field Theories ◽  
Model Calculations ◽  
Effective Models ◽  
Effective Theories

Low-energy effective theories have been used very successfully to study the low-energy limit of QCD, providing us with results for a plethora of phenomena, ranging from bound-state formation to phase transitions in QCD. These theories are consistent quantum field theories by themselves and can be embedded in QCD, but typically have a physical ultraviolet cutoff that restricts their range of validity. Here, we provide a discussion of the concept of renormalization group consistency, aiming at an analysis of cutoff effects and regularization-scheme dependences in general studies of low-energy effective theories. For illustration, our findings are applied to low-energy effective models of QCD in different approximations including the mean-field approximation. More specifically, we consider hot and dense as well as finite systems and demonstrate that violations of renormalization group consistency affect significantly the predictive power of the corresponding model calculations.

scholarly journals Effective Field Theories

Particles ◽  
2020 ◽  
Vol 3 (2) ◽  
pp. 245-271 ◽  
Author(s):  
Andrey Grozin
Keyword(s):  
Effective Field Theories ◽  
Degrees Of Freedom ◽  
Effective Field ◽  
Low Energy ◽  
Field Theories ◽  
Alternative View ◽  
Heavy Particles ◽  
Technical Complications ◽  
Effective Theories

This paper represents a pedagogical introduction to low-energy effective field theories. In some of them, heavy particles are “integrated out” (a typical example—the Heisenberg–Euler EFT); in some, heavy particles remain but some of their degrees of freedom are “integrated out” (Bloch–Nordsieck EFT). A large part of these lectures is, technically, in the framework of QED. QCD examples, namely decoupling of heavy flavors and HQET, are discussed only briefly. However, effective field theories of QCD are very similar to the QED case, and there are just some small technical complications: more diagrams, color factors, etc. The method of regions provides an alternative view at low-energy effective theories; this is also briefly introduced.

scholarly journals Low-Energy Excitations of theS= 1/2 Quantum Spin Tube with the Triangular Lattice Structure

2005 ◽  
Vol 159 ◽  
pp. 297-301 ◽  
Author(s):  
Kouichi Okunishi ◽  
Shin-ichiro Yoshikawa ◽  
Tôru Sakai ◽  
Seiji Miyashita
Keyword(s):  
Triangular Lattice ◽  
Lattice Structure ◽  
Quantum Spin ◽  
Low Energy ◽  
Spin Tube

scholarly journals From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories

2021 ◽  
Vol 380 (2216) ◽  
Author(s):  
Uwe-Jens Wiese
Keyword(s):  
Hilbert Space ◽  
Gauge Theory ◽  
Dimensional Reduction ◽  
Gauge Theories ◽  
Quantum Simulation ◽  
Quantum Spin ◽  
Coulomb Phase ◽  
Finite Dimensional ◽  
Link Model ◽  
Quantum Link

Quantum link models provide an extension of Wilson’s lattice gauge theory in which the link Hilbert space is finite-dimensional and corresponds to a representation of an embedding algebra. In contrast to Wilson’s parallel transporters, quantum links are intrinsically quantum degrees of freedom. In D-theory, these discrete variables undergo dimensional reduction, thus giving rise to asymptotically free theories. In this way ( 1 + 1 ) -d C P ( N − 1 ) models emerge by dimensional reduction from ( 2 + 1 ) -d S U ( N ) quantum spin ladders, the ( 2 + 1 ) -d confining U ( 1 ) gauge theory emerges from the Abelian Coulomb phase of a ( 3 + 1 ) -d quantum link model, and ( 3 + 1 ) -d QCD arises from a non-Abelian Coulomb phase of a ( 4 + 1 ) -d S U ( 3 ) quantum link model, with chiral quarks arising naturally as domain wall fermions. Thanks to their finite-dimensional Hilbert space and their economical mechanism of reaching the continuum limit by dimensional reduction, quantum link models provide a resource efficient framework for the quantum simulation and computation of gauge theories. This article is part of the theme issue ‘Quantum technologies in particle physics’.

scholarly journals Nonlocal Effects of Low-Energy Excitations in Quantum-Spin-Liquid Candidate Cu3Zn(OH)6FBr

2021 ◽  
Vol 38 (9) ◽  
pp. 097501
Author(s):  
Yuan Wei ◽  
Xiaoyan Ma ◽  
Zili Feng ◽  
Yongchao Zhang ◽  
Lu Zhang ◽  
...  
Keyword(s):  
Quantum Spin ◽  
Low Energy ◽  
Spin Liquid ◽  
Nonlocal Effects ◽  
Quantum Spin Liquid

scholarly journals Low-energy effective Hamiltonian for giant-gap quantum spin Hall insulators in honeycombX-hydride/halide(X=N–Bi)monolayers

2014 ◽  
Vol 90 (8) ◽  
Author(s):  
Cheng-Cheng Liu ◽  
Shan Guan ◽  
Zhigang Song ◽  
Shengyuan A. Yang ◽  
Jinbo Yang ◽  
...  
Keyword(s):  
Quantum Spin ◽  
Low Energy ◽  
Effective Hamiltonian ◽  
Quantum Spin Hall
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