scholarly journals Controlling the Topological Sector of Magnetic Solitons in Exfoliated Cr1/3NbS2 Crystals

2017 ◽  
Vol 118 (25) ◽  
Author(s):  
L. Wang ◽  
N. Chepiga ◽  
D.-K. Ki ◽  
L. Li ◽  
F. Li ◽  
...  
Keyword(s):  
Topological Sector

scholarly journals Experimental measures of topological sector fluctuations in the F-model

2020 ◽  
Vol 102 (21) ◽  
Author(s):  
Daan M. Arroo ◽  
Steven T. Bramwell
Keyword(s):  
Topological Sector

scholarly journals Topological-Sector Fluctuations and Curie-Law Crossover in Spin Ice

2013 ◽  
Vol 3 (1) ◽  
Author(s):  
L. D. C. Jaubert ◽  
M. J. Harris ◽  
T. Fennell ◽  
R. G. Melko ◽  
S. T. Bramwell ◽  
...  
Keyword(s):  
Spin Ice ◽  
Topological Sector

scholarly journals Dominance of a single topological sector in gauge theory on non-commutative geometry

2009 ◽  
Vol 2009 (09) ◽  
pp. 084-084 ◽  
Author(s):  
Hajime Aoki ◽  
Jun Nishimura ◽  
Yoshiaki Susaki
Keyword(s):  
Gauge Theory ◽  
Topological Sector

scholarly journals Asymptotic States in Nonlocal Field Theories

1997 ◽  
Vol 12 (07) ◽  
pp. 493-500 ◽  
Author(s):  
D. G. Barci ◽  
L. E. Oxman
Keyword(s):  
Minkowski Space ◽  
Field Theories ◽  
Simons Theory ◽  
Asymptotic State ◽  
Topological Sector ◽  
Nonlocal Field ◽  
Chern Simons ◽  
Chern Simons Theory

Asymptotic states in field theories containing nonlocal kinetic terms are analyzed using the canonical method, naturally defined in Minkowski space. We apply our results to study the asymptotic states of a nonlocal Maxwell–Chern–Simons theory coming from bosonization in (2+1) dimensions. We show that in this case the only asymptotic state of the theory, in the trivial (non-topological) sector, is the vacuum.

CONSTRAINED FERMIONIC MODELS IN NON-TRIVIAL TOPOLOGICAL SECTORS

1992 ◽  
Vol 07 (24) ◽  
pp. 2179-2188 ◽  
Author(s):  
ENRIQUE F. MORENO
Keyword(s):  
Path Integral ◽  
Degrees Of Freedom ◽  
Central Charge ◽  
Coulomb Gas ◽  
Effective Theory ◽  
Fermionic Model ◽  
Topological Sector ◽  
Integral Treatment ◽  
Background Charge

We study a constrained fermionic model involving non-trivial topological gauge configurations. After a path-integral treatment of the topologically trivial degrees of freedom we show that the resulting effective theory is equivalent to a Coulomb gas theory with a "background charge" at infinity plus a b, c ghost system. The Virasoro central charge of the theory is found to be independent of the topological sector.

scholarly journals Topological Susceptibility under Gradient Flow

2018 ◽  
Vol 175 ◽  
pp. 11024 ◽  
Author(s):  
Héctor Mejía-Díaz ◽  
Wolfgang Bietenholz ◽  
Krzysztof Cichy ◽  
Philippe de Forcrand ◽  
Arthur Dromard ◽  
...  
Keyword(s):  
Field Theory ◽  
Correlation Length ◽  
Continuum Limit ◽  
Gradient Flow ◽  
Slab Method ◽  
Characteristic Quantity ◽  
Topological Sector ◽  
Lattice Field ◽  
Direct Measurements ◽  
The Impact

We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility Xt is measured directly, and by the slab method, which is based on the topological content of sub-volumes (“slabs”) and estimates Xt even when the system remains trapped in a fixed topological sector. The results obtained by both methods are essentially consistent, but the impact of the Gradient Flow on the characteristic quantity of the slab method seems to be different in 2-flavour QCD and in the 2d O(3) model. In the latter model, we further address the question whether or not the Gradient Flow leads to a finite continuum limit of the topological susceptibility (rescaled by the correlation length squared, ξ2). This ongoing study is based on direct measurements of Xt in L × L lattices, at L/ξ ≃6.

scholarly journals TOPOLOGICAL ZERO MODES IN MONTE CARLO SIMULATIONS

1995 ◽  
Vol 06 (01) ◽  
pp. 123-134 ◽  
Author(s):  
H. DILGER
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Dirac Operator ◽  
Zero Mode ◽  
Mode Structure ◽  
Hybrid Monte Carlo ◽  
Schwinger Model ◽  
Zero Modes ◽  
Topological Sector ◽  
Approximate Zero

We present an improvement of global Metropolis updating steps, the instanton hits, used in a hybrid Monte Carlo simulation of the two-flavor Schwinger model with staggered fermions. These hits are designed to change the topological sector of the gauge field. In order to match these hits to an unquenched simulation with pseudofermions, the approximate zero mode structure of the lattice Dirac operator has to be considered explicitly.

scholarly journals The topological line of ABJ(M) theory

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Nicola Gorini ◽  
Luca Griguolo ◽  
Luigi Guerrini ◽  
Silvia Penati ◽  
Domenico Seminara ◽  
...  
Keyword(s):  
Partition Function ◽  
Central Charge ◽  
Exact Representation ◽  
One Dimensional ◽  
Topological Sector ◽  
The Matrix ◽  
The One ◽  
The Masses ◽  
Dimension One ◽  
M Theory

Abstract We construct the one-dimensional topological sector of $$ \mathcal{N} $$ N = 6 ABJ(M) theory and study its relation with the mass-deformed partition function on S3. Supersymmetric localization provides an exact representation of this partition function as a matrix integral, which interpolates between weak and strong coupling regimes. It has been proposed that correlation functions of dimension-one topological operators should be computed through suitable derivatives with respect to the masses, but a precise proof is still lacking. We present non-trivial evidence for this relation by computing the two-point function at two-loop, successfully matching the matrix model expansion at weak coupling and finite ranks. As a by-product we obtain the two-loop explicit expression for the central charge cT of ABJ(M) theory. Three- and four-point functions up to one-loop confirm the relation as well. Our result points towards the possibility to localize the one-dimensional topological sector of ABJ(M) and may also be useful in the bootstrap program for 3d SCFTs.

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