Triviality in QFT
Jan Vroonhof
of trviality in quantum field theories.
Jan
--
Jan Vroonhof
vroo...@rulgm0.LeidenUniv.nl
Lorentz Institute for Theoretical Physics
Leiden University
Thorsten Ohl
Jan> Does anybody know any good literature/references on the issue of
Jan> trviality in quantum field theories.
A nice (IMHO) and quite accessible account for physicists can be found in
44) TRIVIALITY PURSUIT: CAN ELEMENTARY SCALAR PARTICLES EXIST?
By David J.E. Callaway (Rockefeller U.), RU-87-B1-20, n.d. (recd Mar 1988)
179pp.
Published in Phys.Rept.167:241,1988.
For more mathematically inclined people
18) RANDOM WALKS, CRITICAL PHENOMENA, AND TRIVIALITY IN QUANTUM FIELD
THEORY.
By R. Fernandez, J. Frohlich (Zurich, ETH), A.D. Sokal (New York U.), 1992.
Berlin, Germany: Springer (1992) 444 p. (Texts and monographs in physics).
should give all the answers (I haven't seen it myself, but Frohlich
knows what he's talking about).
Enjoy,
-Thorsten
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/// Thorsten Ohl, TH Darmstadt, Schlossgartenstr. 9, D-64289 Darmstadt, Germany
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Matt Austern
> Does anybody know any good literature/references on the issue
> of trviality in quantum field theories.
Callaway wrote a very nice review article on triviality (Phys. Rep.
167:241 (1988)). It discusses both rigorous results and the other
reasons why most people believe in triviality, and it has lots of
references to the original literature.
There have been some new results in recent years, which, of course,
aren't mentioned in Callaway's 1988 article; there has been more
progress, for example, putting scalar theories on the lattice. People
have also done more careful calculations of the triviality upper
bound on the Higgs boson mass. For the most part, though, Callaway
is a good starting point.
--
Matt Austern "Se non e vero, e ben trovato"