کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1855014 1529918 2010 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonrelativistic inverse square potential, scale anomaly, and complex extension
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Nonrelativistic inverse square potential, scale anomaly, and complex extension
چکیده انگلیسی

The old problem of a singular, inverse square potential in nonrelativistic quantum mechanics is treated employing a field-theoretic, functional renormalization method. An emergent contact coupling flows to a fixed point or develops a limit cycle depending on the discriminant of its quadratic beta function. We analyze the fixed points in both conformal and nonconformal phases and perform a natural extension of the renormalization group analysis to complex values of the contact coupling. Physical interpretation and motivation for this extension is the presence of an inelastic scattering channel in two-body collisions. We present a geometric description of the complex generalization by considering renormalization group flows on the Riemann sphere. Finally, using bosonization, we find an analytical solution of the extended renormalization group flow equations, constituting the main result of our work.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 325, Issue 2, February 2010, Pages 491–513
نویسندگان
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