Mass in quantum Yang-Mills theory (comment on a clay millenium problem)

Bulletin of the Brazilian Mathematical Society

Volumn 33, Issue 2, 2002, Pages 201-212

  Faddeev, Ludwig D ^a  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

Dimensional transmutation; Mass; Yang Mills field

Indexed keywords

EID: 0036667151     PISSN: 01003569     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005740200009     Document Type: Article

References (12)

1. Clay Mathematics Institute Millenium Prize Problems, http://www.claymath.org/prizeproblems/index.htm
2. A. Jaffe and E. Witten Quantum Yang-Mills Theory, http://www.claymath.org/prizeproblems/yang_mills.pdf
3. C. N. Yang and R. Mills, Conservation of Isotopic Spin and Isotopic Gauge Invariance, Phys. Rev. 96 (1954), 191-195.
4. F. A. Berezin, The Method of Secondary Quantization, (in russian), Moscow, Nauka, (1965).
5. L. D. Faddeev and V. Popov, Feynman Diagrams for Yang-Mills field, Phys. Lett. B 25 (1967), 29-30.
6. L. D. Faddeev and A. A. Slavnov, Gauge Fields: An Introduction to Quantum Theory, Frontiers in Physics 83 (1991), Addison-Wesley.
7. M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley (1995).
8. R. Jackiw, What Good are Quantum Field Theory Infinities, Mathematical Physics 2000 (ed. A. Fokas et al., Imperial College Press, London, 2000).
9. S. Coleman, Secret Symmetries: An Introduction to Spontaneous Symmetry Breakdown and Gauge Fields: Lecture given at 1973 Intern. Summer School in Phys. Ettore Majorana. Erice (Sicily), 1973, Erice Subnucl. Phys., (1973).
10. See e. g. D. Gross, The discovery of asymptotic freedom and the emergence of QCD, in At the frontier of particle physics - Handbook of QCD, ed. M. Shifmann, World Scientific (2001).
11. L. D. Faddeev and S. P. Merkuriev, Quantum Scattering Theory for Several Particle Systems, Mathematical Physics and Applied Mathematics 11, Kluwer Academic Publishers (1993).
12. F. A. Berezin and L. D. Faddeev, A remark on Schrödinger's equation with a singular potential. Soviet Math. Dokl. 2 (1961), 372-375.