This is a write-up of a course on Supersymmetry I have been giving for several years to first year PhD .. course provides an introduction to such fascinating subject. .. H.J. Müller-Kirsten and A. Wiedemann. Introduction to. Request Full-text Paper PDF. Citations (0). References . Harald J. W. Müller- Kirsten . I provide a pedagogical introduction to supersymmetry. Introduction to Supersymmetry (World Scientific Lecture Notes in Physics) Harald J. W. Muller-. Kirsten, Armin Wiedemann. Supersymmetry is a symmetry which.
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By (author):; Harald J W Müller-Kirsten (University of Kaiserslautern, of the highly successful text of 20 years ago provides an introduction to supersymmetry, . by H.J.W. Müller-Kirsten and A. Wiedemann. Introduction to Supersymmetry and Supergravity, by S.P. Misra. Supersymmetry: Basics and Concepts, by S.K. Soni. Trove: Find and get Australian resources. Books, images, historic newspapers, maps, archives and more.
What is quantum cosmology with supersymmetry? How is supersymmetry implemented? Is it through the use of recent developments in a superstring theory? Why should the very early universe be explored in that manner? Are there enticing and interesting research problems left to solve? How relevant would it be to address and solve them?
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Cancellation of the Higgs boson quadratic mass renormalization between fermionic top quark loop and scalar stop squark tadpole Feynman diagrams in a supersymmetric extension of the Standard Model One of the main motivations for SUSY comes from the quadratically divergent contributions to the Higgs mass squared.
The quantum mechanical interactions of the Higgs boson causes a large renormalization of the Higgs mass and unless there is an accidental cancellation, the natural size of the Higgs mass is the greatest scale possible.
This problem is known as the hierarchy problem. Supersymmetry reduces the size of the quantum corrections by having automatic cancellations between fermionic and bosonic Higgs interactions.
If supersymmetry is restored at the weak scale, then the Higgs mass is related to supersymmetry breaking which can be induced from small non-perturbative effects explaining the vastly different scales in the weak interactions and gravitational interactions.
In many supersymmetric Standard Models there is a heavy stable particle such as neutralino which could serve as a weakly interacting massive particle WIMP dark matter candidate.
The existence of a supersymmetric dark matter candidate is related closely to R-parity. The standard paradigm for incorporating supersymmetry into a realistic theory is to have the underlying dynamics of the theory be supersymmetric, but the ground state of the theory does not respect the symmetry and supersymmetry is broken spontaneously.
The supersymmetry break can not be done permanently by the particles of the MSSM as they currently appear.
This means that there is a new sector of the theory that is responsible for the breaking. The only constraint on this new sector is that it must break supersymmetry permanently and must give superparticles TeV scale masses. There are many models that can do this and most of their details do not matter. In order to parameterize the relevant features of supersymmetry breaking, arbitrary soft SUSY breaking terms are added to the theory which temporarily break SUSY explicitly but could never arise from a complete theory of supersymmetry breaking.
The renormalization group evolution of the three gauge coupling constants of the Standard Model is somewhat sensitive to the present particle content of the theory. These coupling constants do not quite meet together at a common energy scale if we run the renormalization group using the Standard Model. Supersymmetric quantum mechanics often becomes relevant when studying the dynamics of supersymmetric solitons , and due to the simplified nature of having fields which are only functions of time rather than space-time , a great deal of progress has been made in this subject and it is now studied in its own right.
SUSY quantum mechanics involves pairs of Hamiltonians which share a particular mathematical relationship, which are called partner Hamiltonians.
The potential energy terms which occur in the Hamiltonians are then known as partner potentials. An introductory theorem shows that for every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with the same energy.
This fact can be exploited to deduce many properties of the eigenstate spectrum. It is analogous to the original description of SUSY, which referred to bosons and fermions.