عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
شماره کتابشناسی ملی
شماره
TLpq2322785114
زبان اثر
زبان متن نوشتاري يا گفتاري و مانند آن
انگلیسی
عنوان و نام پديدآور
عنوان اصلي
A Convergent Continuum Strong Coupling Expansion for Quantum Mechanics & Quantum Field Theory/String Tensions in Deformed Yang-Mills theory
نام عام مواد
[Thesis]
نام نخستين پديدآور
Shalchian Tabrizi, Mohammad Erfan
نام ساير پديدآوران
Poppitz, Erich
وضعیت نشر و پخش و غیره
نام ناشر، پخش کننده و غيره
University of Toronto (Canada)
تاریخ نشرو بخش و غیره
2019
مشخصات ظاهری
نام خاص و کميت اثر
178
یادداشتهای مربوط به پایان نامه ها
جزئيات پايان نامه و نوع درجه آن
Ph.D.
کسي که مدرک را اعطا کرده
University of Toronto (Canada)
امتياز متن
2019
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This Thesis is a collection of three different works: "A Convergent Continuum Strong Coupling Expansion For Quantum Mechanics \& Quantum Field Theory": The notion of an asymptotic weak coupling expansion about an exactly solvable model in QM and QFT is generalized to an all positive value coupling convergent expansion. This is done by rescaling the variables available in the theory by free parameters, then adding and subtracting the exactly solvable model. The rest (initial rescaled theory by free parameters + the subtracted exactly solvable model) is expanded about the added exactly solvable model. Evaluating finite orders of this expansion at its extremum points with respect to the free parameter(s) gives a sequence that converges to the result of the previous asymptotic expansion. This method is applied to quantum mechanics and quantum field theory. The electron g-factor calculation is improved at the one loop level using this method. "String Tensions in Deformed Yang-Mills Theory": Yang-Mills theory defined on usd\mathbb{R}^3 \times S^1usd deconfines at high temperatures or small circle sizes usdS^1usd. In order to have a confining theory for arbitrary small spacial circle sizes usdS^1usd that can be studied analytically a deformation of Yang-Mills theory is considered. In this work we calculate the k-string tensions for SU(N) deformed Yang-Mills theory on usd\mathbb{R}^3 \times S^1usd. The k-string tensions usdT_kusd for usd2 \leq N \leq 10usd are calculated in two different ways: by a numerical minimization and a (novel) analytical evaluation of the string tension action. We find that dYM k-string ratios usdT_k/T_1usd do not obey the well-known sine- or Casimir-scaling laws. Instead, we show that the ratios usdT_k/T_1usd are bound above by a square root of Casimir scaling, previously found to hold for stringlike solutions of the MIT Bag Model. Our results also indicate that, at large values of N, k-strings in dYM do not become free. "A Generalization of Picard-Lindelof Theorem/ The Method of Characteristics to Systems of PDE": Picard-Lindelof theorem of ordinary differential equations and the method of characteristics is unified/generalized to the following system of PDE: usdC_{il}(x,y) {\partial y_i / \partial x_l} + {\partial y_i / \partial x_m} = D_i(x,y)usd.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Particle physics
موضوع مستند نشده
Physics
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
مستند نام اشخاص تاييد نشده
Poppitz, Erich
مستند نام اشخاص تاييد نشده
Shalchian Tabrizi, Mohammad Erfan
دسترسی و محل الکترونیکی
نام الکترونيکي
مطالعه متن کتاب وضعیت انتشار
فرمت انتشار
p
اطلاعات رکورد کتابشناسی
نوع ماده
[Thesis]
کد کاربرگه
276903
اطلاعات دسترسی رکورد
سطح دسترسي
a
تكميل شده
Y
