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

IN two previous notes1, Prof. Max Born and I have shown that one can obtain a theory of superconductivity by taking account of the fact that the interaction of the electrons with the ionic lattice is appreciable only near the boundaries of Brillouin zones, and particularly strong near the corners of these. This leads to the criterion that the metal should be superconductive if a set of corners of a Brillouin zone is lying very near the Fermi surface, considered as a sphere, which limits the region in the momentum space completely filled with electrons.

On the theory of superconductivity

Annals of physics

Heat kernel expansion: user's manual

The effect of an external (electro)magnetic field on the finite temperature transition of QCD is studied. We generate configurations at various values of the quantized magnetic flux with N
 f
  = 2 + 1 flavors of stout smeared staggered quarks, with physical masses. Thermodynamic observables including the chiral condensate and susceptibility, and the strange quark number susceptibility are measured as functions of the field strength. We perform the renormalization of the studied observables and extrapolate the results to the continuum limit using N
 t
  = 6, 8 and 10 lattices. We also check for finite volume effects using various lattice volumes. We find from all of our observables that the transition temperature T
 c
 significantly decreases with increasing magnetic field. This is in conflict with various model calculations that predict an increasing T
 c
 (B). From a finite volume scaling analysis we find that the analytic crossover that is present at B = 0 persists up to our largest magnetic fields eB ≈ 1 GeV2, and that the transition strength increases mildly up to this eB ≈ 1 GeV2.

http://inspirehep.net/record/946829/files/arXiv:1111.4956.pdf

The QCD phase diagram for external magnetic fields

https://estudogeral.sib.uc.pt/bitstream/10316/4414/1/file677311f657cb44b69a7e9c284d786a92.pdf

Multi-quark interactions with a globally stable vacuum

https://estudogeral.sib.uc.pt/bitstream/10316/4366/1/filea0012a0c45cc44f199d718e9f960efcf.pdf

Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons

Pion Observables in the Extended NJL Model with Vector and Axial-Vector Mesons

The combined effective low energy QCD Lagrangians of Nambu -- Jona-Lasinio (NJL) and 't Hooft are supplemented with eight-quark interactions. This work is a follow-up of recent findings, namely (i) the six quark flavour determinant 't Hooft term destabilizes the NJL vacuum, (ii) the addition of a chiral invariant eight-fermion contact term renders the ground state of the theory globally stable; (iii) stability constrains the values of coupling constants of the model, meaning that even in the presence of eight-quark forces the system can be unstable in a certain parameter region. In the present work we study a phenomenological output of eight-quark interactions considering the mass spectra of pseudoscalar and scalar mesons. Mixing angles are obtained and their equivalence to the two angle approach is derived. We show that the masses of pseudoscalars are almost neutral to the eight-quark forces. The only marked effect of the second order in the SU(3) breaking is found in the $\eta -\eta'$ system. The scalars are more sensitive to the eight-quark interactions. A strong repulsion between the singlet-octet members is the reason for the obtained low mass of the $\sigma$ state within the model considered.

/pdf/effects-of-eight-quark-interactions-on-the-hadronic-vacuum-3pt2qdq3zl.pdf

https://estudogeral.sib.uc.pt/bitstream/10316/4370/1/filea45bd35f324e4169b020b9ebbbe96419.pdf

Alexander A. Osipov

Papers

Multi-quark interactions with a globally stable vacuum

Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons

Pion Observables in the Extended NJL Model with Vector and Axial-Vector Mesons

Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons

Dynamical chiral symmetry breaking by a magnetic field and multi-quark interactions