Template talk:Quantum field theory

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[edit] Suggested use

Add this template only to articles which are strictly foundational material on quantum field theory. Bambaiah 10:43, Jun 4, 2005 (UTC)

[edit] Merge with Quantum mechanics template

I sugest this template be merged with Template:Quantum mechanics —Preceding unsigned comment added by Caco de vidro (talk • contribs) 22:21, 1 March 2008 (UTC)

I disagree, this will mess up the QM template with topics too advanced for an undergraduate student.(Sheliak (talk) 06:40, 3 March 2008 (UTC))
Is wikipedia's audience just undergraduates, or everybody? --76.99.169.3 (talk) 06:15, 18 March 2008 (UTC)
Everybody, but Sheliak's point still stands. --Michael C. Price talk 09:56, 18 March 2008 (UTC)
I agree, though I'm a little uneasy about the content and organization of this template. Quantum field theories are used ubiquitously in solid state physics and in high energy physics, so I feel it would be proper to include models such as the Hubbard model and Ginzburg-Landau theory, etc. into the template. As far as the organization is concerned, it looks like the Standard model gets its own category when in fact, it is merely an elaborate example of quantum field theory. Perhaps the organization should be along the lines of (1) Theories in Solid State Physics (2) Theories in High energy Physics. I even recall seeing quantum field theories used in polymer physics, and in economics to model the stock market. So before I go ahead and perform a cosmetic surgery to this template, are there any comments? TriTertButoxy (talk) 22:16, 27 March 2008 (UTC)
Solid State Physics is not a subcategory of QFT -- see Kaku's book for example. No entry for SSP. --Michael C. Price talk 07:57, 13 May 2008 (UTC)

[edit] Spelling

Thanks for your contributions Truthnlove, for consistency I'll change the spelling of the Topics&Items to first capitalize letter and also remove the forenames of the scientists.

[edit] QFT Has Many Periods

  1. The founding period, where the theory was constructed by: Bohr-Rosenfeld/Born/Heisenberg/Dirac/Jordan/Klein. They recognized the need for field quantization. Heisenberg and others quantize scalar fields.
  2. The early field era: Klein, notes the paradoxes in the single-particle Dirac equation, Dirac-- who correctly quantizes the EM field and Fermi, Pauli, Stuckelberg. then there is the canonical anticommutator surprise by Fermi and Jordan. Fermis four-fermion interaction.
  3. The confusion era, when Heisenberg and others try to do perturbation theory and fail because of divergences. In this period, Majorana discovers a new fermion type and constructs an infinite component field for the first time, Wigner classifies all field equations, and interprets particles as irreps of the Poincare group. Pauli and Fierz find all wave equations and do spin-statistics theorem. Wigner recognizes the superselection sectors. Bethe does the Bethe ansatz.
  4. The renormalization era, the modern formulation, by Stuckelberg, Feynman, Schwinger, Tomonaga, Dyson etc. Bethe calculates lamb-shift. Dyson finds heuristics for renormalization.
  5. The 1950s. Lee model. Yang calculates the correlation functions of the Ising model. Lee Yang zeros. Renormalization is shown to hold to all orders following Ward, Bogoliubov, and others. Zimmermann formulates the forest formula at some point. There's a bunch of dispersion relations which probably warrant their own box.
  6. The 1960s. The connection to statistical models is becoming clearer, but not yet completely clear. Extended structures are analyzed by Skyrme then others for the first time-- fermions from bosonic theories. Schwinger shows that 2d electrodynamics is confining. There is rigorous stuff by Glimm Jaffe Frohlich, which probably merits its own box. There's current algebra and Sugawara construction which comes to its own two decades later, a whole new type of field theoretic construction. There's the anomaly, which started a whole field of inquiry. There's the operator product expansion by Wilson and Zimmermann. There's the S-matrix theorems that are more general than field theory, by Froissart, Coleman/mandula, etc.
  7. THe 1970s: ignoring supersymmetry--- the field theoretic developments are the renormalization of yang mills, asymptotic freedom, nonperturbative renormalization, ghosts and BRST quantization, vacuum condensate analysis of bound states by SVZ sum rules, and new fermi theories in 2d. There's also the instantons and solitons, the monopoles.
  8. The 1980s: Renormalization everywhere, and real-space and computational methods. Lattice Gauge theory. Conformal field theory, which probably warrants its own box and page.
  9. The 1990-now : I think it is fair to say that field theoretic progress is either in applications to high energy physics, or to condensed matter physics or in rigorous type work mathematics/mathematical physics, aside from supersymmetry, where the theories are still being formulated. Even still, there is some new kinds of field theory being formulated, like the "unparticle" theories.

This is the problem with discussion a subject this big and this alive. This was the focus of physics for 80 years. Even if only the really radically new contributions are mentioned, the number of contributers over the decades is enormous. The question is, which period does this box cover? I tried to find some representatives from all eras, excluding rigorous stuff, excluding SUSY, and excluding conformal field theory, maybe that is satisfactory. But the number of even the most obvious contributors is very very large. I don't know how to restrict things in this case.Likebox (talk) 07:36, 13 May 2008 (UTC)

[edit] Statistical Field Theory

The condensed matter people probably need their own thing--- how about "Statistical field theory"? This can include Parisi/Zinn-Justin/Kadanoff people who were interested in classical statistics more than quantum fluctuations.Likebox (talk) 18:24, 13 May 2008 (UTC)