Strongly coupled fields
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Medicine
Link
http://link.springer.com/content/pdf/10.1007/BF02729912.pdf
Reference8 articles.
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5. Our use of the word «small» in the proof of the claim in sect.2 requires some comment. For we do not simply mean that a term in ℒ is small if its coupling coefficient is small. Rather, we intend that, after rescaling the theory, one separates out the small operators from those which are large and thereby expands the respective functional in a meaningful way. In the example treated in sect.3, we expand the scalar field theory (3.4) in powers ofπ 2/8σ √g and integrate out the usual free Lagrangian terms completely, since — d4 x π 2/8σ √g would appear to bethe small part of the action in (3.4). In this way, we have departed from the formal approach ofHori, who attempted to formally expand the free Lagrangian terms against the interaction terms, a procedure which would appear suspect. We thankDr. U. Bar-Gadda for calling the work ofHori to our attention.S. Hori:Nucl. Phys.,30, 644 (1962).
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1. Non-Gaussian path integration in self-interacting scalar field theories;Physical Review D;2004-10-01
2. On the strong coupling expansion for a generating functional;Journal of Physics A: Mathematical and General;1993-03-07
3. Continuum strong-coupling expansion for quantum electrodynamics;Physical Review D;1981-11-15
4. Continuum regulation of the strong-coupling expansion for quantum field theory;Physical Review D;1981-11-15
5. Renormalization of strong-coupling expansions;Physical Review D;1980-11-15
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