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Geometrical Methods in Mathematical Physics Bernard F. Schutz
Publisher: Cambridge University Press

Schutz, Geometrical methods of mathematical physics (elementary intro) amazon, google. Michael Reed, Barry Simon, Methods of modern mathematical physics, 4 vols. But for QCD Path integrals have rightfully become the dominant way to describe physics of quantum fields and their strength turned out to be even more obvious in theories with non-Abelian gauge symmetries (Yang-Mills symmetries much like conformal symmetries on the worldsheet etc. The ICGTPM series is traditionally dedicated to the application of symmetry and group theoretical methods in physics, chemistry and mathematics, and to the development of mathematical tools and theories for progress in group theory and symmetries. Language: English Released: 1981. (emphasis on functional but not much QFT. Publisher: Springer Page Count: 563. Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems. Most of our reasons for believing the standard model are based on perturbative quantization of gauge fields, and for this it's true that geometrical methods are not strictly necessary. Over the years, it has further broadened and diversified due to the successful application of group theoretical, geometric and algebraic methods in life sciences and other areas. GO Differential geometrical methods in mathematical physics. Department of Mathematics, University of Texas, Edinburg, TX 78541-2999, USA.