There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

To say that this is the best book on the quantum theory of fields is no praise, since to my knowledge it is the only book on this subject But it is a very good and most useful book The original was written in German and appeared in 1942 This is a translation with some minor changes A few remarks have been added, concerning meson theory and nuclear forces, also footnotes referring to modern work in this field, and finally an appendix on the symmetrization of the energy momentum tensor according to Belinfante Quantum Theory of Fields Prof Gregor Wentzel Translated from the German by Charlotte Houtermans and J M Jauch Pp ix + 224, (New York and London: Interscience Publishers, Inc, 1949) 36s

Quantum Theory of Fields

The Three-loop splitting functions in QCD: The Singlet case

Heat kernel expansion: user's manual

http://cds.cern.ch/record/257993/files/9401310.pdf

QCD phenomenology based on a chiral effective Lagrangian

Calculating vacuum energies in renormalizable quantum field theories:: A new approach to the Casimir problem

The Dirichlet Casimir problem

Baryons as chiral solitons in the nambu-jona-lasinio model

We develop a covariant approach to describe the low-lying scalar, pseudoscalar, vector, and axial-vector mesons as quark-antiquark bound states. This approach is based on an effective interaction modeling the nonperturbative structure of the gluon propagator that enters the quark Schwinger-Dyson and meson Bethe-Salpeter equations. We consistently treat these integral equations by precisely implementing the quark propagator functions that solve the Schwinger-Dyson equations into the Bethe-Salpeter equations in the relevant kinematical region. We extract the meson masses and compute the pion and kaon decay constants. We obtain a quantitatively correct description for pions, kaons, and vector mesons while the calculated spectra of scalar and axial-vector mesons suggest that their structure is more complex than being quark-antiquark bound states.

Herbert Weigel

Papers

Calculating vacuum energies in renormalizable quantum field theories:: A new approach to the Casimir problem

The Dirichlet Casimir problem

Baryons as chiral solitons in the nambu-jona-lasinio model

Mesons in a Poincare covariant Bethe-Salpeter approach

Casimir energies in light of quantum field theory