Results 11 to 20 of about 16,849 (119)

Gauge Invariance and Lattice Monopoles

, 2010
The number and the location of monopoles in Lattice configurations depend on the choice of the gauge, in contrast to the obvious requirement that monopoles, as physical objects, have a gauge-invariant status.
Di Giacomo, Adriano
core   +1 more source

Classical String Solutions in Effective Infrared Theory of SU(3) Gluodynamics [PDF]

, 1999
We investigate string solutions to the classical equations of motion ("classical QCD strings") for a dual Ginzburg-Landau model corresponding to SU(3) gluodynamics in an abelian projection. For a certain relation between couplings of the model the string
Abrikosov, Antonov, Baker, Bogomol'ny, Chernodub, de Vega, Heo, Kamizawa, M.N. Chernodub, Maedan, Maedan, Nielsen, Suganuma, Vachaspati   +13 more
core   +2 more sources

Gauge Interaction as Periodicity Modulation

, 2012
The paper is devoted to a geometrical interpretation of gauge invariance in terms of the formalism of field theory in compact space-time dimensions [arXiv:0903.3680].
Arkani-Hamed, Baez, Birrell, Blagojevic, Broglie, Broglie, Casalbuoni, Casalbuoni, Catillon, Dolce, Dolce, Dolce, Dolce, Dolce, Donatello Dolce, Einstein, Elze, Ferber, Feynman, Gozzi, Hall, Hestenes, Hosotani, Kaluza, Klein, Magas, Matsubara, Misner, Ohanian, Peskin, Rainich, Schrödinger, Sidharth, Weinberg, Weyl, York, ’t Hooft   +36 more
core   +1 more source

Abelian 2-form gauge theory: superfield formalism [PDF]

, 2009
We derive the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for {\it all} the fields of a free Abelian 2-form gauge theory by exploiting the geometrical superfield approach to BRST formalism.
A. Aurilia, D.M. Gitman, D.S. Hwang, D.S. Hwang, E. Harikumar, G. Curci, H. Hata, J. Polchinski, J. Thierry-Mieg, J. Thierry-Mieg, J. Thierry-Mieg, J.W. Holten van, L. Alvarez-Gaumé, L. Baulieu, L. Bonora, L. Bonora, L. Bonora, M. Henneaux, M. Quiros, M.B. Green, N. Nakanishi, N. Seiberg, R. Delbourgo, R. Delbourgo, R. P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, R.P. Malik, S. Deser, S. Gupta, S. Weinberg, V.I. Ogievetsky, V.I. Ogievetsky, V.O. Rivelles   +48 more
core   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Dyon Condensation and Aharonov-Bohm Effect

, 1998
We derive the string representation of the Abelian Higgs theory in which dyons are condensed. It occurs that in such representation the topological interaction exists in the expectation value of the Wilson loop.
Akhmedov, E. T., Chernodub, M. N., Polikarpov, M. I.   +2 more
core   +1 more source

Z-Vortex Percolation in the Electroweak Crossover Region [PDF]

, 1998
We study the statistical properties of Z-vortices and Nambu monopoles in the 3D SU(2) Higgs model for a Higgs mass M_H \approx 100 GeV near and above the crossover temperature, where these defects are thermally excited.
A. Schiller, Antunes, Bakker, Barriola, Chernodub, Chernodub, E.-M. Ilgenfritz, F.V. Gubarev, Gürtler, Ivanenko, M.N. Chernodub, Manton, Nambu, Shanahan, Vachaspati   +14 more
core   +5 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Solving Gauss's Law on Digital Quantum Computers with Loop-String-Hadron Digitization

, 2020
We show that using the loop-string-hadron (LSH) formulation of SU(2) lattice gauge theory (arXiv:1912.06133) as a basis for digital quantum computation easily solves an important problem of fundamental interest: implementing gauge invariance (or Gauss's ...
Raychowdhury, Indrakshi, Stryker, Jesse R.   +1 more
core   +1 more source

Sensitivity and Hamming Graphs

Journal of Graph Theory, EarlyView.
ABSTRACT For any m ≥ 3 $m\ge 3$ we show that the Hamming graph H ( n , m ) $H(n,m)$ admits an imbalanced partition into m $m$ sets, each inducing a subgraph of low maximum degree. This improves previous results by Tandya and by Potechin and Tsang, and disproves the Strong m $m$‐ary Sensitivity Conjecture of Asensio, García‐Marco, and Knauer.
Sara Asensio, Yuval Filmus, Ignacio García‐Marco, Kolja Knauer   +3 more
wiley   +1 more source