Results 1 to 10 of about 16,811 (81)

Polynomial growth of sumsets in abelian semigroups [PDF]

, 2002
Let S be an abelian semigroup, and A a finite subset of S. The sumset hA consists of all sums of h elements of A, with repetitions allowed. Let |hA| denote the cardinality of hA.
Nathanson, Melvyn B., Ruzsa, Imre Z.
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Non-Abelian Vortices on the Torus [PDF]

, 2007
We study periodic arrays of non-Abelian vortices in an $SU(N) \times U(1)$ gauge theory with $N_f$ flavors of fundamental matter multiplets. We carefully discuss the corresponding twisted boundary conditions on the torus and propose an ansatz to solve ...
A. Gonzalez-Arroyo, A. Gonzalez-Arroyo, A. Gonzalez-Arroyo, A. Hanany, A. Hanany, D. Tong, Diego Marqués, E.B. Bogomolny, F.A. Schaposnik, Fidel Arturo Schaposnik, G. 't Hooft, G.S. Lozano, G.S. Lozano, Gustavo Sergio Lozano, M. Eto, M. Shifman, P. Forgacs   +16 more
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Explicit Multimonopole Solutions in SU(N) Gauge Theory [PDF]

, 1998
We construct multimonopole solutions containing N-1 distinct fundamental monopoles in SU(N) gauge theory. When the gauge symmetry is spontaneously broken to U(1)^{N-1}, the monopoles are all massive, and we show that the fields can be written in terms of
Weinberg, Erick J., Yi, Piljin
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Scaling and confinement aspects of tadpole improved SU(2) lattice gauge theory and its abelian projection [PDF]

, 1997
Using a tadpole improved SU(2) gluodynamics action, the nonabelian potential and the abelian potential after the abelian projection are computed.
A. Billoire, A. Di Giacomo, A. M. Polyakov, A. S. Kronfeld, A. S. Kronfeld, B. Allés, B. Allés, C. Michael, C. Morningstar, E. Kovacs, F. Karsch, G. I. Poulis, G. I. Poulis, G. Martinelli, G. P. Lepage, G. Parisi, G. S. Bali, G. S. Bali, G. ’t Hooft, Grigorios I. Poulis, H. Shiba, J. D. Stack, J. E. Mandula, J. Fingberg, K. Symanzik, K. Yee, L. Del Debbio, M. Albanese, M. Alford, M. Alford, M. García Pérez, M. Lüscher, M. Lüscher, M. N. Chernodub, M. Polikarpov, P. Weisz, S. Hioki, S. Hioki, T. A. DeGrand, T. L. Ivanenko, T. Suzuki, V. G. Bornyakov   +41 more
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Topological fault-tolerance in cluster state quantum computation [PDF]

, 2007
We describe a fault-tolerant version of the one-way quantum computer using a cluster state in three spatial dimensions. Topologically protected quantum gates are realized by choosing appropriate boundary conditions on the cluster.
Abramsky S Coecke B, Aharonov D Ben-Or M, Aharonov D Ben-Or M, Aliferis P, Bombin H Martin-Delgado M A, Bravyi S Kitaev A, Edmonds J, Freedman M Nayak Ch Walker K, Gottesman D, Hatcher A, J Harrington, K Goyal, Kauffman L H, Nielsen M, Nielsen M A, Nielsen M A Dawson C, Pachos J K, R Raussendorf, Raussendorf R Harrington J, Svore K M DiVincenzo D P Terhal B M, Takeda K, Varnava M Browne D E Rudolph T   +21 more
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Embedded Topological Defects in Hot Electroweak Theory: a Lattice Study [PDF]

, 1998
We study the properties of Nambu monopoles and Z-vortices in the 3D lattice SU(2) Higgs theory which represents the Standard Model at high temperature. We show that the densities of the Nambu monopoles and the Z-vortices are O(1) in the symmetric phase ...
A Schiller, Antunes, Barriola, Chernodub, Chernodub, E.-M Ilgenfritz, F.V Gubarev, Ilgenfritz, Ivanenko, M.N Chernodub, Manton, Nambu, Vachaspati, Vachaspati   +13 more
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Center vortex model for the infrared sector of Yang-Mills theory - Topological Susceptibility [PDF]

, 2000
A definition of the Pontryagin index for SU(2) center vortex world-surfaces composed of plaquettes on a hypercubic lattice is constructed. It is used to evaluate the topological susceptibility in a previously defined random surface model for vortices ...
't Hooft, 't Hooft, 't Hooft, 't Hooft, Aharonov, Alexandrou, Alexandrou, Ambjørn, Ambjørn, Ambjørn, Bali, Banks, Belavin, Bertle, Bornyakov, Brower, Brower, Callan, Cornwall, Cornwall, Cornwall, de Forcrand, Debbio, Del Debbio, Del Debbio, DiGiacomo, Engelhardt, Engelhardt, Engelhardt, Engelhardt, Faber, Faber, Faber, Hart, Ilgenfritz, Kovács, Kronfeld, Langfeld, Lüscher, M. Engelhardt, Mack, Mack, Mack, Mack, Mack, Mandelstam, Montero, Montero, Nielsen, Olesen, Pérez, Shuryak, Shuryak, Suzuki, van Baal, Veneziano, Witten   +56 more
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Chiral fermions and gauge-fixing in five-dimensional theories [PDF]

, 2001
We study in detail the issue of gauge-fixing in theories with one universal extra dimension, i.e. theories where both bosons and fermions display Kaluza-Klein (KK) excitations.
Papavassiliou, Joannis, Santamaria, Arcadi   +1 more
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Massless monopoles and the moduli space approximation [PDF]

, 2001
We investigate the applicability of the moduli space approximation in theories with unbroken non-Abelian gauge symmetries. Such theories have massless magnetic monopoles that are manifested at the classical level as clouds of non-Abelian field ...
D. Stuart, E.B. Bogomolny, E.J. Weinberg, E.J. Weinberg, E.J. Weinberg, Erick J. Weinberg, Huidong Guo, K. Lee, M.K. Prasad, N.S. Manton, N.S. Manton, X. Chen, Xingang Chen   +12 more
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An extended Hubbard model with ring exchange: a route to a non-Abelian topological phase [PDF]

, 2004
We propose an extended Hubbard model on a 2D Kagome lattice with an additional ring-exchange term. The particles can be either bosons or spinless fermions .
Chetan Nayak, Kirill Shtengel, L. Kauffman, Michael Freedman, P. W. Anderson, R. B. Laughlin, S. Das Sarma   +6 more
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