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Understanding Black Hole Formation in String Theory

Hampton, Shaun David
http://rave.ohiolink.edu/etdc/view?acc_num=osu1531949063908224

Abstract Details

2018, Doctor of Philosophy, Ohio State University, Physics.
Black hole formation is a difficult problem to address. During the formation process, gravitational interactions become nonperturbative and therefore extremely difficult to compute. String theory provides a framework to address this problem using the AdS/CFT correspondence. It states that low energy string theory in D + 1 spacetime dimensions, which we call the bulk, is dual to a quantum field theory of effective strings on a D dimensional boundary. The strongly coupled dynamics of black hole formation is conjectured to be dual to the thermalization of a weakly interacting boundary field theory for low N which, for N approaching infinity, will become strongly coupled. We perform our computations at low N. We search for this thermalization effect by utilizing the D1D5 CFT to compute effective string interactions. This is done by turning on a deformation of the theory. This deformation twists together and untwists effective strings. For a system to thermalize, the initial state which is far from thermal, must redistribute it’s energy via interactions until a thermal state is achieved. In our case, we consider amplitudes for strings with one and two excitations in the initial state to transition to two and four excitations, respectively, in the final state under the application of two twist deformations. We find that the '1 to 3' amplitude has a term which oscillates in t, and a 'secular term' which term grows linearly in t, where time, t, is the duration of the the deformation. We find that the '2 to 4' splitting amplitude has a term which oscillates in t, and two secular terms; one which grows linearly in t, and the other which grows like t2. The 'secular' terms appear as a consequence of eigenstates of the free Hamiltonian evolving towards eigenstates of the perturbed Hamiltonian. We note that for large t, the '2 to 4' process dominates over the '1 to 3' process. We identify the '2 to 4' process as the thermalization vertex in the CFT that we hope will lead to thermalization.
Samir Mathur, Ph.D (Advisor)
Yuri Kovchegov, Ph.D (Committee Member)
Brian Winer, Ph.D (Committee Member)
Junko Shigemitsu, Ph.D (Committee Member)
461 p.
Physics
Black Holes; String Thing Theory; Conformal Field Theory; Thermalization; Black Hole Formation

Recommended Citations

Citations

  • Hampton, S. D. (2018). Understanding Black Hole Formation in String Theory [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1531949063908224

    APA Style (7th edition)

  • Hampton, Shaun. Understanding Black Hole Formation in String Theory. 2018. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1531949063908224.

    MLA Style (8th edition)

  • Hampton, Shaun. "Understanding Black Hole Formation in String Theory." Doctoral dissertation, Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1531949063908224

    Chicago Manual of Style (17th edition)

osu1531949063908224
228
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