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Title: A Klein-Gordon particle captured by embedded curves

Abstract

In the present work, a Klein-Gordon particle with singular interactions supported on embedded curves on Riemannian manifolds is discussed from a more direct and physical perspective, via the heat kernel approach. It is shown that the renormalized problem is well-defined, and the ground state energy is unique and finite. The renormalization group invariance of the model is discussed, and it is observed that the model is asymptotically free. - Highlights: Black-Right-Pointing-Pointer A Klein-Gordon particle with singular interactions supported on embedded curves on Riemannian manifolds is studied. Black-Right-Pointing-Pointer The renormalization of the model can be performed nonperturbatively. Black-Right-Pointing-Pointer The model is asymptotically free as its beta function is found to be negative.

Authors:
;
Publication Date:
OSTI Identifier:
22157108
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 327; Journal Issue: 11; Other Information: Copyright (c) 2012 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUND STATE; GROUND STATES; KERNELS; KLEIN-GORDON EQUATION; PARTICLE INTERACTIONS; QUANTUM FIELD THEORY; RENORMALIZATION; RIEMANN SPACE

Citation Formats

Kaynak, Burak Tevfik, E-mail: burak.kaynak@boun.edu.tr, and Turgut, O. Teoman, E-mail: turgutte@boun.edu.tr. A Klein-Gordon particle captured by embedded curves. United States: N. p., 2012. Web. doi:10.1016/J.AOP.2012.05.008.
Kaynak, Burak Tevfik, E-mail: burak.kaynak@boun.edu.tr, & Turgut, O. Teoman, E-mail: turgutte@boun.edu.tr. A Klein-Gordon particle captured by embedded curves. United States. doi:10.1016/J.AOP.2012.05.008.
Kaynak, Burak Tevfik, E-mail: burak.kaynak@boun.edu.tr, and Turgut, O. Teoman, E-mail: turgutte@boun.edu.tr. Thu . "A Klein-Gordon particle captured by embedded curves". United States. doi:10.1016/J.AOP.2012.05.008.
@article{osti_22157108,
title = {A Klein-Gordon particle captured by embedded curves},
author = {Kaynak, Burak Tevfik, E-mail: burak.kaynak@boun.edu.tr and Turgut, O. Teoman, E-mail: turgutte@boun.edu.tr},
abstractNote = {In the present work, a Klein-Gordon particle with singular interactions supported on embedded curves on Riemannian manifolds is discussed from a more direct and physical perspective, via the heat kernel approach. It is shown that the renormalized problem is well-defined, and the ground state energy is unique and finite. The renormalization group invariance of the model is discussed, and it is observed that the model is asymptotically free. - Highlights: Black-Right-Pointing-Pointer A Klein-Gordon particle with singular interactions supported on embedded curves on Riemannian manifolds is studied. Black-Right-Pointing-Pointer The renormalization of the model can be performed nonperturbatively. Black-Right-Pointing-Pointer The model is asymptotically free as its beta function is found to be negative.},
doi = {10.1016/J.AOP.2012.05.008},
journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = 11,
volume = 327,
place = {United States},
year = {2012},
month = {11}
}