Albert Petrov - Quantum Superfield Supersymmetry
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The international monograph series Fundamental Theories of Physics aims to stretch the boundaries of mainstream physics by clarifying and developing the theoretical and conceptual framework of physics and by applying it to a wide range of interdisciplinary scientific fields. Original contributions in well-established fields such as Quantum Physics, Relativity Theory, Cosmology, Quantum Field Theory, Statistical Mechanics and Nonlinear Dynamics are welcome. The series also provides a forum for non-conventional approaches to these fields. Publications should present new and promising ideas, with prospects for their further development, and carefully show how they connect to conventional views of the topic. Although the aim of this series is to go beyond established mainstream physics, a high profile and open-minded Editorial Board will evaluate all contributions carefully to ensure a high scientific standard.
More information about this series at http://www.springer.com/series/6001
This Springer imprint is published by the registered company Springer Nature Switzerland AG
The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
This review represents itself as a collection of lecture notes on superfield supersymmetry based on lectures given at Instituto de Fsica, Universidade de So Paulo (So Paulo), Instituto de Fsica, Universidade Federal do Rio Grande do Sul (Porto Alegre), and Departamento de Fsica, Universidade Federal da Paraiba (Joo Pessoa). The book includes many examples of explicit quantum calculations performed with use of the superfield formalism and is intended for students at levels of undergraduate and graduate studies in quantum field theory and theory of elementary particles and for researchers working in related subjects.
Author is grateful to C. A. S. Almeida, E. A. Asano, L. C. T. Brito, I. L. Buchbinder, M. Cvetic, A. F. Ferrari, F. S. Gama, H. O. Girotti, M. Gomes, S. M. Kuzenko, A. C. Lehum, R. V. Maluf, J. R. Nascimento, P. Porfirio, A. A. Ribeiro, V. O. Rivelles, A. J. da Silva, and E. O. Silva for fruitful collaboration and interesting discussions. The work has been partially supported by CNPq.
We prove, once and for all, that people who dont use superspace are really out of it.
Stuperspace
The idea of supersymmetry is now considered as one of the basic concepts of theoretical high energy physics (see e.g. [1]). The supersymmetry, being a fundamental symmetry allowing to relate bosons and fermions, provides possibilities to construct theories with much better renormalization properties since some bosonic and fermionic divergent contributions in supersymmetric theories cancel each other. Moreover, there are essentially finite four-dimensional supersymmetry theories without higher derivatives, e.g. super-Yang-Mills (SYM) theory (the detailed discussion of the finiteness of this theory is presented in [2]), and, probably, supergravity [3]. In the three-dimensional case, and supersymmetric Chern-Simons theories are known to be finite [4]. Due to this essential improvement of renormalization properties, there is a common expectation that the expected unified theory of all fundamental interactions must be supersymmetric (see e.g. [5] and references therein).
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