Results 81 to 90 of about 2,501 (221)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.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
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The Clifford algebra of physical space and Dirac theory [PDF]
, 2017 The claim found in many textbooks that the Dirac equation cannot be written solely in terms of Pauli matrices is shown to not be completely true. It is only true as long as the term βψ in the usual Dirac factorization of the Klein-Gordon equation is ...
Vaz Jr. Jayme
core +1 more source
Solución de las Ecuaciones Dinámicas de la Cuerda Bosónica
Revista de Investigación de Física, 2005 Mediante el método de Dirac y el formalismo Hamiltoniano se analiza la teoría Clásica de Nambu-Goto obteniéndose y resolviéndose las ecuaciones dinámicas de la cuerda Bosónica. Siguiendo este método se calcula el álgebra de los vínculos de primera clase,
Fulgencio Villegas Silvaa
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Some Observations on Dirac Measure-Preserving Transformations and their Results [PDF]
Sahand Communications in Mathematical Analysis, 2019 Dirac measure is an important measure in many related branches to mathematics. The current paper characterizes measure-preserving transformations between two Dirac measure spaces or a Dirac measure space and a probability measure space.
Azadeh Alijani, Zohreh Nazari
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Evolution and Conceptual Insights into the Geometric Phase of Light: A Comprehensive Review
Advanced Photonics Research, Volume 7, Issue 6, June 2026.This review presents a unified account of the geometric phase of light, linking its fundamental principles to diverse manifestations in polarization, spatial, and vector modes. By connecting theoretical frameworks with key experimental realizations, it reveals a coherent physical picture that deepens understanding and stimulates new directions in ...
A. Srinivasa Rao
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There is a homomorphism of associative superalgebras from the enveloping algebra of the orthosymplectic Lie superalgebra $\mathfrak{osp}(1|2)$ to the Weyl-Clifford superalgebra $W(2n|n)$ with $2n$ even Weyl algebra generators and $n$ odd Clifford algebra generators. Under this homomorphism, the positive odd root vector $x\in\mathfrak{osp}(1|2)$ is sent
Dorang, Matthew +2 more
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A pseudo-algebra of observables for the dirac equation
Manuscripta Mathematica, 1983 The Dirac equation is shown to admit a natural algebra P of global pseudodifferential operators, characterised by the property that the 'Heisenberg representation' \(A\to \exp (iHt)A \exp (-iHt)=A_ t\) leaves P invariant. Certain modifications of most standard observables are required if the algebra P is to be interpreted as an algebra of observables ...
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The Importance of Local Variations of Axial Dispersion Coefficients
Chemical Engineering &Technology, Volume 49, Issue 6, June 2026.A variable axial dispersion model was implemented and compared with classical axial dispersion models, highlighting the impact of the local variations and demonstrating its importance when surface reaction mechanisms occur. ABSTRACT A variable axial dispersion model (VADM), accounting for local variations in the axial dispersion coefficient, was ...
Luca Mastroianni +6 more
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Journal of High Energy Physics, 2020 In an effort to further the study of amplitudes in the celestial CFT (CCFT), we construct conformal primary wavefunctions for massive fermions. Upon explicitly calculating the wavefunctions for Dirac fermions, we deduce the corresponding transformation ...
Sruthi A. Narayanan
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The Dirac algebra and grand unification
, 2001 A representation of the Dirac algebra, derived from first principles, can be related to the combinations of unit charges which determine particle structures. The algebraic structure derives from a broken symmetry between 4-vectors and quaternions which can be applied to the broken symmetry between the three nongravitational interactions.
Rowlands, Peter, Cullerne, J. P.
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