Results 21 to 30 of about 117,966 (253)
Noncommutative field theory from quantum mechanical space–space noncommutativity [PDF]
Physics Letters A, 2007 13 ...
M. Rosenbaum +2 more
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Matrix Quantum Mechanics and Soliton Regularization of Noncommutative Field Theory [PDF]
, 2004 We construct an approximation to field theories on the noncommutative torus based on soliton projections and partial isometries which together form a matrix algebra of functions on the sum of two circles.
Giovanni Landi +2 more
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Noncommutative field theory and composite Fermi liquids in some quantum Hall systems [PDF]
, 2020 Composite Fermi liquid metals arise at certain special filling fractions in the quantum Hall regime and play an important role as parent states of gapped states with quantized Hall response. They have been successfully described by the Halperin-Lee-Read (
Zhihuan Dong, T. Senthil
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ON FINITE NONCOMMUTATIVITY IN QUANTUM FIELD THEORY [PDF]
International Journal of Modern Physics A, 2010 We consider various modifications of the Weyl–Moyal star-product, in order to obtain a finite range of nonlocality. The basic requirements are to preserve the commutation relations of the coordinates as well as the associativity of the new product.
Miklos Långvik, Ali Zahabi
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Noncommutative quantum field theory [PDF]
Fortschritte der Physik, 2014 AbstractWe summarize our recent construction of the ϕ4‐model on four‐dimensional Moyal space. This is achieved by solving the quartic matrix model for a general external matrix in terms of the solution of a non‐linear equation for the 2‐point function and the eigenvalues of that matrix. The β‐function vanishes identically.
H. Grosse, R. Wulkenhaar
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On nonperturbative quantum field theory and noncommutative geometry [PDF]
Journal of Geometry and Physics, 2017 36 ...
Johannes Aastrup, J. Grimstrup
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Why Renormalizable NonCommutative Quantum Field Theories? [PDF]
, 2007 27 pages, 2 ...
Vincent Rivasseau
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Quantum Hall physics = noncommutative field theory [PDF]
Journal of High Energy Physics, 2001 In this note, we study a matrix-regularized version of non-commutative U(1) Chern-Simons theory proposed recently by Polychronakos. We determine a complete minimal basis of exact wavefunctions for the theory at arbitrary level k and rank N and show that these are in one-to-one correspondence with Laughlin-type wavefunctions describing excitations of a ...
Hellerman, Simeon, Van Raamsdonk, Mark
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Braided quantum electrodynamics
Journal of High Energy Physics, 2023 The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example of braided electrodynamics, that is, U(1) gauge theory minimally coupled to a Dirac fermion.
Marija Dimitrijević Ćirić +3 more
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An Introduction to Noncommutative Physics
Physics, 2023 Noncommutativity in physics has a long history, tracing back to classical mechanics. In recent years, many new developments in theoretical physics, and in practical applications rely on different techniques of noncommutative algebras.
Shi-Dong Liang, Matthew J. Lake
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