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We use the supergeometric formalism, more precisely, the so-called “big bracket”(for which brackets and anchors are encoded by functions on some graded symplectic manifold) to address the theory of Ja...
The goal of this paper is to present a formalism that allows to handle fourfermion effective theories at finite temperature and density in curved space. The formalism is based on the use of the effect...
Generalized Weyl-Wigner-Moyal Formalism and Topological Groups
Generalized Weyl-Wigner-Moyal Formalism Topological Groups
2011/2/28
Discussed are some geometric aspects of the phase space formalism in quantum mechanics in the sense of Weyl, Wigner, Moyal and Ville.We analyze the relationship between this formalism and geometry of ...
Representation of Hamiltonian formalism in dissipative mechanical system
Classical mechanics Lagrangian function Hamiltonian function
2010/9/21
Hamiltonian mechanics is the root of classical mechanics. Hamiltonian function is the modified version of Lagrangian function which is of the first order differential equations with generalized coordi...
A thermodynamical formalism for Monge-Ampere equations, Moser-Trudinger inequalities and Kahler-Einstein metrics
thermodynamical formalism Monge-Ampere equations
2010/11/23
We develop a variational calculus for a certain free energy functional on the space of all probability measures on a Kahler manifold X. This functional can be seen as a generalization Mabuchi's K-ene...
The Bargmann-Wigner Formalism for Higher Spins (up to 2)
The Bargmann-Wigner Formalism Higher Spins
2010/11/12
On the basis of our recent modifications of the Dirac formalism we generalize the Bargmann-Wigner formalism for higher spins to be compatible with other formalisms for bosons. Relations with dual ele...
hermodynamic formalism for the positive geodesic flow on the modular surface
hermodynamic formalism positive geodesic flow modular surface
2010/12/10
In this note we study the thermodynamic formalism for the pos-itive geodesic flow on the modular surface. We define the pressure and prove the variational principle. We also establish conditions for t...
By solving the first-order algebraic field equations which arise in the dual formulation of the D = 2 principal chiral model (PCM) we construct an integrated Lax formalism built explicitly on the dual...
Typical Borel measures on $[0,1]d$ satisfy a multifractal formalism
Borel measures Hausdorff dimension Multifractal anal-ysis Baire categories
2010/11/29
In this article, we prove that in the Baire category sense, measures supported by the unit cube of Rd typically satisfy a multifractal formalism. To achieve this, we compute explicitly the multifracta...
Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition
Exceptional orthogonal polynomials QHJ formalism SWKB quantization condition
2010/12/3
We study the quantum Hamilton-Jacobi structure of the recently obtained exactly solvable models, related to the newly discovered exceptional polynomials. The fact that the eigenfunctions have zeros an...
Field theory of massive and massless vector particles in the Duffin-Kemmer-Petiau formalism
Field theory of massive massless vector particles Duffin-Kemmer-Petiau formalism
2010/12/16
Field theory of massive and massless vector particles is consid-ered in the first-order formalism. The Hamiltonian form of equations is obtained after the exclusion of non-dynamical components.
The rational Part of QCD Amplitude I: the General Formalism
rational Part QCD Amplitude the General Formalism
2018/4/20
A general formalism for computing only the rational part of the one-loop QCD amplitude is developed. Starting from the Feynman integral representation of the one-loop amplitude, we use tensor re- duct...