자료유형 | 학위논문 |
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서명/저자사항 | Exploring the Anatomy of QCD and Related Strongly Coupled Theories. |
개인저자 | Kellerstein, Moshe. |
단체저자명 | State University of New York at Stony Brook. Physics. |
발행사항 | [S.l.]: State University of New York at Stony Brook., 2019. |
발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
형태사항 | 134 p. |
기본자료 저록 | Dissertations Abstracts International 81-05B. Dissertation Abstract International |
ISBN | 9781687934062 |
학위논문주기 | Thesis (Ph.D.)--State University of New York at Stony Brook, 2019. |
일반주기 |
Source: Dissertations Abstracts International, Volume: 81-05, Section: B.
Advisor: Verbaarschot, Jacobus. |
이용제한사항 | This item must not be sold to any third party vendors. |
요약 | Following a brief review introducing Chiral Random Matrix Theory as the low energy limit of QCD, and of two methods for non-perturbative computation of partition functions, we consider bosonic random matrix partition functions at nonzero chemical potential and compare the chiral condensate, the baryon number density and the baryon number susceptibility to the result of the corresponding fermionic partition function. We find that as long as results are finite, the phase transition of the fermionic theory persists in the bosonic theory. However, in case that bosonic partition function diverges and has to be regularized, the phase transition of the fermionic theory does not occur in the bosonic theory, and the bosonic theory is always in the broken phase.We present preliminary results from a perturbative study of gauge invariant correlators in coordinate space. These correlators are comprised of the flavor-off-diagonal, dimension-5 chromelectric dipole moment (CEDM), and the chromomagnetic dipole moment (CMDM) operators, and have been calculated up to O(g4) in the QCD coupling constant. Using results for thecorrelators, we discuss the renormalization and mixing of the CEDM and CMDM with lower dimensional operators, and present the renormalization matrices for the CEDM to CEDM and CMDM to CMDM correlators in the MS-bar scheme. We compute the matching factors necessary to convert the non-perturbative renormalization factors found for these correlators in the X-space scheme into MS-bar so that CEDM and CMDM lattice calculations can be utilized in current studies. We have also computed the renormalization group coefficients, and the renormalization group flow of the correlatros necessary to express these operators at an arbitrary renormalizatoin point. |
일반주제명 | Nuclear physics. Radiation. |
언어 | 영어 |
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