Results 21 to 30 of about 10,271 (122)

Equations of motion, Noncommutativity and Quantization [PDF]

, 2006
We study the relation between a given set of equations of motion in configuration space and a Poisson bracket. A Poisson structure is consistent with the equations of motion if the symplectic form satisfy some consistency conditions.
Acatrinei, Anderson, Anderson, Boulahoual, Carmona, Cattaneo, Cattaneo, Connes, Cortes, Cortese, Das, DeWitt, Douglas, Falomir, Gamboa, García, Gopakumar, Harvey, Henneaux, Hojman, Hojman, Hojman, Ignacio Cortese, J. Antonio García, Kontsevich, Magueijo, Messiah, Nair, Novikov, Peierls, Schomerus, Seiberg, Seiberg   +32 more
core   +2 more sources

Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories [PDF]

, 2009
This review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically classical field theories, both the regular and singular cases. First, the main features of the Lagrangian formalism are revisited and, second,
Román-Roy, Narciso
core   +8 more sources

Quantization of Contact Manifolds and Thermodynamics

, 2007
The physical variables of classical thermodynamics occur in conjugate pairs such as pressure/volume, entropy/temperature, chemical potential/particle number.
Arnold, Arnold, Blair, Buchdahl, Connes, Connes, Courant, Gilmore, Lieb, Roulstone, S.G. Rajeev, Thurston, W Gibbs, Weinstein, Witten   +14 more
core   +2 more sources

Geometric Quantization and Epistemically Restricted Theories: The Continuous Case

, 2017
It is possible to reproduce the quantum features of quantum states, starting from a classical statistical theory and then limiting the amount of knowledge that an agent can have about an individual system [5, 18].These are so called epistemic ...
Contreras, Ivan, Duman, Ali Nabi
core   +2 more sources

Large N limit of SO(N) gauge theory of fermions and bosons [PDF]

, 2002
In this paper we study the large N_c limit of SO(N_c) gauge theory coupled to a Majorana field and a real scalar field in 1+1 dimensions extending ideas of Rajeev. We show that the phase space of the resulting classical theory of bilinears, which are the
Aoki K., Aoki K., Borthwick D., Brodsky S., Cavicchi M., Cavicchi M., Ekstrand C., El-Gradechi A. M., El-Gradechi A. M., Erdal Toprak, Gracia-Bondı́a J., Kutasov D., Langmann E., O. Teoman Turgut, Schmitt T., Schmitt T., Shei S. S., Tomaras T. N., Turgut O. T.   +18 more
core   +2 more sources

Deformation Quantization: Twenty Years After

, 1998
We first review the historical developments, both in physics and in mathematics, that preceded (and in some sense provided the background of) deformation quantization.
Sternheimer, Daniel
core   +1 more source

Contact 4d Chern-Simons theory: generalities

Journal of High Energy Physics
We refine and generalize the results of [1], where evidence in favor of applying the non-Abelian localization method to handle the 4d Chern-Simons theory path integral formulation was presented.
David M. Schmidtt
doaj   +1 more source

Noncommutativity and Duality through the Symplectic Embedding Formalism [PDF]

, 2010
This work is devoted to review the gauge embedding of either commutative and noncommutative (NC) theories using the symplectic formalism framework.
Abreu, Everton M. C., Mendes, Albert C. R., Oliveira, Wilson   +2 more
core   +3 more sources

Graph potentials and topological quantum field theories

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay   +2 more
wiley   +1 more source

The geometry of real reducible polarizations in quantum mechanics

, 2016
The formulation of Geometric Quantization contains several axioms and assumptions. We show that for real polarizations we can generalize the standard geometric quantization procedure by introducing an arbitrary connection on the polarization bundle.
Prieto, Carlos Tejero, Vitolo, Raffaele
core   +1 more source