Results 41 to 50 of about 48,147 (187)

Low-energy limit of N-photon amplitudes in a constant field: Part II

Physics Letters B
We employ the worldline formalism to derive a series representation of the low-energy limit of the N-photon amplitude in a constant background field for both scalar and spinor QED. The amplitudes are then written in terms of a single proper-time integral.
Misha A. Lopez-Lopez
doaj   +1 more source

Weinberg propagator of a free massive particle with an arbitrary spin from the BFV-BRST path integral

, 1999
The transition amplitude is obtained for a free massive particle of arbitrary spin by calculating the path integral in the index-spinor formulation within the BFV-BRST approach. None renormalizations of the path integral measure were applied.
Bandos I, Bandos I, Bandos I A, Bandos I A, Bandos I A, Barducci A, Batalin I A, Berezin F A, Berezin F A, Bogolyubov N N, Casalbuoni R, Dirac P A M, Fradkin E S, Fradkin E S, Galperin A, Galperin A, Galperin A, Galperin A, Galperin A, Gel'fand I M, Gershun V D, Henneaux M, Henty J C, Kuzenko S M, Liu Q-g, Nissimov E R, Papadopoulos G, Penrose R, Penrose R, Pierri M, S O Fedoruk, Sokatchev E, Sorokin D V, V G Zima, Volkov D V, Weinberg S, Wess J, Zima V G, Zima V G   +38 more
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Spinor representation of framed Mannheim curves

Turkish Journal of Mathematics, 2022
Summary: In this paper, we obtain spinor with two complex components representations of Mannheim curves of framed curves. Firstly, we give the spinor formulas of the frame corresponding to framed Mannheim curve. Later, we obtain the spinor formulas of the frame corresponding to framed Mannheim partner curve.
Dogan Yazici, Bahar, Isbilir, Zehra, Tosun, Murat   +2 more
openaire   +4 more sources

Spinor representation of surfaces and complex stresses on membranes and interfaces

, 2011
Variational principles are developed within the framework of a spinor representation of the surface geometry to examine the equilibrium properties of a membrane or interface. This is a far-reaching generalization of the Weierstrass-Enneper representation
A. Gray, A. I. Bobenko, A. Schwarz, A. T. Fomenko, B. G. Konopelchenko, D. A. Hoffman, Jemal Guven, M. Deserno, Pablo Vázquez-Montejo, R. Osserman, T. J. Willmore, W. Helfrich   +11 more
core   +1 more source

3d conformal fields with manifest sl(2, ℂ)

Journal of High Energy Physics, 2021
In the present paper we construct all short representation of so(3, 2) with the sl(2, ℂ) symmetry made manifest due to the use of sl(2, ℂ) spinors. This construction has a natural connection to the spinor-helicity formalism for massless fields in AdS4 ...
Dmitry Ponomarev
doaj   +1 more source

Maximally Symmetric Minimal Unification Model SO(32) with Three Families in Ten Dimensional Space-time

, 2007
Based on a maximally symmetric minimal unification hypothesis and a quantum charge-dimension correspondence principle, it is demonstrated that each family of quarks and leptons belongs to the Majorana-Weyl spinor representation of 14-dimensions that ...
Chou K. C., Ellwanger U., Georgi H., Green M. B., Pati J., Pochinski J., YUE-LIANG WU   +6 more
core   +1 more source

Pseudospin symmetric solution of the Dirac–Eckart problem with a Hulthén tensor interaction in the tridiagonal representation

Physics Letters B, 2017
Under the condition of the pseudospin symmetry, the approximate analytical solution of the Dirac–Eckart problem with a Hulthén tensor interaction is investigated by working in a complete square integrable basis that supports a tridiagonal matrix ...
Jie Gao, Min-Cang Zhang
doaj   +1 more source

Supersymmetric S-matrices from the worldsheet in 10 & 11d

Physics Letters B, 2020
We obtain compact formulae for tree super-amplitudes for 10 and 11-dimensional supergravity and 10-dimensional supersymmetric Yang-Mills and Born-Infeld. These are based on the polarised scattering equations.
Yvonne Geyer, Lionel Mason
doaj   +1 more source

Sets and C^n; Quivers and A-D-E; Triality; Generalized Supersymmetry; and D4-D5-E6 [PDF]

, 1993
The relation between Geisteswissenschaft and Naturwissenschaft has been discussed by Munster in hep-th/9305104. The plan of this paper is to begin with the empty set; use it to form sets and quivers (sets of points plus sets of arrows between pairs of ...
Smith, F. D. T.
core   +1 more source

One-Dimensional Integrable Spinor BECs Mapped to Matrix Nonlinear Schr\"odinger Equation and Solution of Bogoliubov Equation in These Systems

, 2010
In this short note, we construct mappings from one-dimensional integrable spinor BECs to matrix nonlinear Schr\"odinger equation, and solve the Bogoliubov equation of these systems.
Chen X.-J., Georgi H., Gerdjikov V. S., Iachello F., Ieda J., Ieda J., Kaup D. J., Kovrizhin D. L., Ohmi T., Tsuchida T., Uchiyama M., Zakharov V. E.   +11 more
core   +1 more source