Computer Algebra Calculations in Supersymmetric Electrodynamics

نویسندگان

چکیده

We propose a new symbolic algorithm and C++ program for generating calculating supersymmetric Feynman diagrams $$\mathcal{N} = 1$$ electrodynamics regularized by higher derivatives in four dimensions. According to standard rules, the generates all that are necessary calculate specific contribution two-point Green function of matter superfields needed order, then reduces answer sum Euclidean momentum integrals. At moment, was used anomalous dimension quantum electrodynamics, derivatives, three-loop approximation.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Nonperturbative Vertices in Supersymmetric Quantum Electrodynamics

We derive the complete set of supersymmetric Ward identities involving only twoand threepoint proper vertices in supersymmetric QED. We also present the most general form of the proper vertices consistent with both the supersymmetric and U(1) gauge Ward identities. These vertices are the supersymmetric equivalent of the non supersymmetric Ball-Chiu vertices.

متن کامل

Linear Algebra calculations on a Virtual Shared Memory Computer

We evaluate the impact of the memory hierarchy of virtual shared memory computers on the design of algorithms for linear algebra. On classical shared memory multiprocessor computers, block algorithms are used for e ciency. We study here the potential and the limitations of such approaches on globally addressable distributed memory computers. The BBN TC2000 belongs to this class of computers and...

متن کامل

Precision Calculations in Supersymmetric Theories

In this review article we report on the newest developments in precision calculations in supersymmetric theories. An important issue related to this topic is the construction of a regularization scheme preserving simultaneously gauge invariance and supersymmetry. In this context, we discuss in detail dimensional reduction in component field formalism as it is currently the preferred framework e...

متن کامل

Supersymmetric Lie Algebra

This work is an investigation into the structure and properties of Lie hypermatrix algebra generated by a semisimple basis. By using new algebraic tools; namely cubic hypermatrices I obtain an algebraic structure associated with the basis of a semisimple Lie algebra, and I show that the semisimple Lie basis is a generator of infinite periodic semisimple hypermatrix structures, that has a classi...

متن کامل

Supersymmetric Gelfand-Dickey Algebra

We study the classical version of supersymmetric W-algebras. Using the second Gelfand-Dickey Hamiltonian structure we work out in detail W 2 and W 3-algebras.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Programming and Computer Software

سال: 2023

ISSN: ['0361-7688', '1608-3261']

DOI: https://doi.org/10.1134/s0361768823020147