Reference : SOSpin, a C++ library for Yukawa decomposition in SO(2N) models
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
SOSpin, a C++ library for Yukawa decomposition in SO(2N) models
Da Silva Simoes, Catarina mailto [Université de Liège > Département d'astrophys., géophysique et océanographie (AGO) > Inter. fondamentales en physique et astrophysique (IFPA) >]
Cardoso, Nuno mailto [Instituto Superior Técnico > Departamento de Física > CFTP > >]
Emmanuel-Costa, David mailto [Instituto Superior Técnico, Universidade de Lisboa > Departamento de Física > CFTP > >]
Gonçalves, Nuno mailto [University of Coimbra > Department of Electrical and Computer Engineering > Institute of Systems and Robotics > >]
Computer Physics Communications
Elsevier Science
Yes (verified by ORBi)
The Netherlands
[en] Special orthogonal groups ; Grand Unified Theory
[en] We present in this paper the SOSpin library, which calculates an analytic decomposition of the Yukawa interactions invariant under SO(2N) in terms of an SU(N) basis. We make use of the oscillator expansion formalism, where the SO(2N) spinor representations are expressed in terms of creation and annihilation operators of a Grassmann algebra acting on a vacuum state. These noncommutative operators and their products are simulated in SOSpin through the implementation of doubly-linked-list data structures. These data structures were determinant to achieve a higher performance in the simplification of large products of creation and annihilation operators. We illustrate the use of our library with complete examples of how to decompose Yukawa terms invariant under SO(2N) in terms of SU(N) degrees of freedom for N=2 and 5. We further demonstrate, with an example for SO(4), that higher dimensional field-operator terms can also be processed with our library. Finally, we describe the functions available in SOSpin that are made to simplify the writing of spinors and their interactions specifically for SO(10) models.

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