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An approach to going higher than 1+1 dimensions with supersymmetric discrete light cone quantization

Harada, Motomichi
http://rave.ohiolink.edu/etdc/view?acc_num=osu1148931530

Abstract Details

2006, Doctor of Philosophy, Ohio State University, Physics.
A new technique is proposed in the context of Supersymmetric Discrete Light Cone Quantization (SDLCQ). SDLCQ is a well-established numerical technique to solve supersymmetric theories non-perturbatively. However, it is difficult to apply SDLCQ to theories in the space-time dimensions higher than 1+1 dimensions. This is mainly because in many cases the size of the basis grows exponentially as we increase the number of transverse directions, making it exponentially difficult to solve the theories numerically. Our technique is to circumvent this difficulty by combining the conventional transverse lattice formulation with SDLCQ. Within our formalism, with the help of the large Nc limit, where Nc is the number of color, we treat the transverse degrees of freedom as new 1+1 dimensional field degrees of freedom. This then allows us to regard a theory in (n+1)+1 dimensions as a theory in 1+1 dimensions with many more fields and some non-trivial interactions among them, where n is some positive integer. Utilizing this technique, we successfully find the mass spectrum of low-lying energy states for 𝓝=1 Super Yang-Mills theory both in 2+1 dimensions and 3+1 dimensions. Solving supersymmetric theories with SDLCQ in higher than 2+1 dimensions is done for the first time. It is shown that we are free from the species doubling problem in this formulation, even though we have a transverse lattice. Remaining issues and future possible applications of this technique are also discussed.
Stephen Pinsky (Advisor)

Recommended Citations

Citations

  • Harada, M. (2006). An approach to going higher than 1+1 dimensions with supersymmetric discrete light cone quantization [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1148931530

    APA Style (7th edition)

  • Harada, Motomichi. An approach to going higher than 1+1 dimensions with supersymmetric discrete light cone quantization. 2006. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1148931530.

    MLA Style (8th edition)

  • Harada, Motomichi. "An approach to going higher than 1+1 dimensions with supersymmetric discrete light cone quantization." Doctoral dissertation, Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=osu1148931530

    Chicago Manual of Style (17th edition)

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© 2006, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.