An Extension of Clifford Analysis Towards Super-symmetry

Beyond the Standard Model

10.1093/oso/9780198788393.003.0026 ◽

2017 ◽

Author(s):

Laurent Baulieu ◽

John Iliopoulos ◽

Roland Sénéor

Keyword(s):

Field Theory ◽

General Relativity ◽

Supergravity Models ◽

Standard Model ◽

Field Theories ◽

Beyond The Standard Model ◽

Super Symmetry ◽

The Standard Model ◽

Topological Field ◽

Supersymmetric Theories

The motivation for supersymmetry. The algebra, the superspace, and the representations. Field theory models and the non-renormalisation theorems. Spontaneous and explicit breaking of super-symmetry. The generalisation of the Montonen–Olive duality conjecture in supersymmetric theories. The remarkable properties of extended supersymmetric theories. A brief discussion of twisted supersymmetry in connection with topological field theories. Attempts to build a supersymmetric extention of the standard model and its experimental consequences. The property of gauge supersymmetry to include general relativity and the supergravity models.

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On generalized Hilbert transforms and their interaction with the Radon transform in Clifford analysis

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.826 ◽

2007 ◽

Vol 30 (9) ◽

pp. 1071-1092 ◽

Cited By ~ 3

Author(s):

Fred Brackx ◽

Bram De Knock ◽

Hennie De Schepper

Keyword(s):

Radon Transform ◽

Clifford Analysis ◽

Hilbert Transforms

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Eigenvalue problems in the framework of Clifford analysis

Advances in Applied Clifford Algebras ◽

10.1007/bf03219141 ◽

2001 ◽

Vol 11 (S2) ◽

pp. 301-316 ◽

Cited By ~ 3

Author(s):

Wolfgang Sprößig

Keyword(s):

Clifford Analysis ◽

Eigenvalue Problems

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Numerical Clifford analysis for nonlinear Schrödinger problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20312 ◽

2008 ◽

Vol 24 (4) ◽

pp. 1181-1202 ◽

Cited By ~ 8

Author(s):

P. Cerejeiras ◽

N. Faustino ◽

N. Vieira

Keyword(s):

Clifford Analysis ◽

Nonlinear Schrödinger

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SUPER SYMMETRY IN STRONG AND WEAK INTERACTIONS

International Journal of Modern Physics E ◽

10.1142/s021830131001473x ◽

2010 ◽

Vol 19 (02) ◽

pp. 263-280

Author(s):

U. V. S. SESHAVATHARAM ◽

S. LAKSHMINARAYANA

Keyword(s):

Ground State ◽

Crucial Role ◽

Weak Interactions ◽

Light Quark ◽

Fermion Mass ◽

Coupling Constant ◽

Mass Generation ◽

Super Symmetry ◽

Charged Boson ◽

Charged Mesons

For strong interaction two new fermion mass units 105.32 MeV and 11450 MeV are assumed. Existence of "Integral charge quark bosons", "Integral charge effective quark fermions", "Integral charge (effective) quark fermi-gluons" and "Integral charge quark boso-gluons" are assumed and their masses are estimated. It is noticed that, characteristic nuclear charged fermion is Xs · 105.32 = 938.8 MeV and corresponding charged boson is Xs(105.32/x) = 415.0 where Xs = 8.914 is the inverse of the strong coupling constant and x = 2.26234 is a new number by using which "super symmetry" can be seen in "strong and weak" interactions. 11450 MeV fermion and its boson of mass = 11450/x = 5060 MeV plays a crucial role in "sub quark physics" and "weak interaction". 938.8 MeV strong fermion seems to be the proton. 415 MeV strong boson seems to be the mother of the presently believed 493,496 and 547 MeV etc, strange mesons. With 11450 MeV fermion "effective quark-fermi-gluons" and with 5060 MeV boson "quark boso-gluon masses" are estimated. "Effective quark fermi-gluons" plays a crucial role in ground state charged baryons mass generation. Light quark bosons couple with these charged baryons to form doublets and triplets. "Quark boso-gluons" plays a crucial role in ground state neutral and charged mesons mass generation. Fine and super-fine rotational levels can be given by [I or (I/2)] power(1/4) and [I or (I/2)] power(1/12) respectively. Here, I = n(n+1) and n = 1, 2, 3, ….

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