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Title: Limit cycles of effective theories

Abstract

A simple example is used to show that renormalization group limit cycles of effective quantum theories can be studied in a new way. The method is based on the similarity renormalization group procedure for Hamiltonians. The example contains a logarithmic ultraviolet divergence that is generated by both real and imaginary parts of the Hamiltonian matrix elements. Discussion of the example includes a connection between asymptotic freedom with one scale of bound states and the limit cycle with an entire hierarchy of bound states.

Authors:
 [1]
  1. Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, 00-681 Warsaw (Poland)
Publication Date:
OSTI Identifier:
21010918
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.025005; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUND STATE; HAMILTONIANS; MATRIX ELEMENTS; QUANTUM FIELD THEORY; RENORMALIZATION; ULTRAVIOLET DIVERGENCES

Citation Formats

Glazek, Stanislaw D. Limit cycles of effective theories. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.025005.
Glazek, Stanislaw D. Limit cycles of effective theories. United States. doi:10.1103/PHYSREVD.75.025005.
Glazek, Stanislaw D. Mon . "Limit cycles of effective theories". United States. doi:10.1103/PHYSREVD.75.025005.
@article{osti_21010918,
title = {Limit cycles of effective theories},
author = {Glazek, Stanislaw D.},
abstractNote = {A simple example is used to show that renormalization group limit cycles of effective quantum theories can be studied in a new way. The method is based on the similarity renormalization group procedure for Hamiltonians. The example contains a logarithmic ultraviolet divergence that is generated by both real and imaginary parts of the Hamiltonian matrix elements. Discussion of the example includes a connection between asymptotic freedom with one scale of bound states and the limit cycle with an entire hierarchy of bound states.},
doi = {10.1103/PHYSREVD.75.025005},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}