After serving his apprenticeship as a field theorist at Cornell University ... Dr. Mitra sacrificed his chance of a brilliant research career in America in order to serve his country and his people. I deeply respect that choice, and I rejoice that his sacrifice was not made in vain. After a fruitful career as a pioneer and teacher of modern science in India, he now stands at the center of the vibrant scientific community that he helped to create. This volume is, among other things, a monument to his vision. from the Foreword by Freeman Dyson Quantum Field Theory (QFT) may be the single most important concept in physics to be discovered in the twentieth century. This volume reflects the multidimensional impact of QFT on the evolution of physics in the last century. Dr. Asoke Mitra, editor for the volume and former student and colleague of Freeman Dyson, gathers here a selection of articles in the areas where the impact of QFT has been especially pronounced: from particle physics to string theory and extending to facets of astrophysics and the physics of condensed matter. The wide range of topics covered makes this volume more than just an introductory text on QFT. Contributors include V. Gribov, M. Moshinsky, K. Nishijima, J. Schwarz, D. Shirkov, E. Witten and many more renowned experts in their respective fields. This book makes an excellent reference work for a broad spectrum of readers, from postdocs in key areas of QFT to specialists in currently evolving areas. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Published jointly by the Hindustan Book Agency (India) and the Indian National Science Academy; distributed worldwide except in India by the AMS. Readership Graduate students and research mathematicians and physicists interested in quantum field theory. Table of Contents Editor's Summary  A. N. Mitra  Dimensions of field theoryfrom particles to strings
Part A: Basic Structure of QFT  D. V. Shirkov  Evolution of the Bogoliubov renormalization group
 S. Szpigel and R. J. Perry  The similarity renormalization group
 V. Novikov  Quantum field theory and the standard modelbird's eye view
 P. K. Kabir  Broken reflection symmetries
 D. Boyanovsky and H. J. de Vega  Dynamics of symmetry breaking out of equilibriumfrom condensed matter to QCD and the early universe
 V. N. Gribov  Orsay lectures on confinement
 K. Nishijima and M. Chaichian  An essay on color confinement
Part B: Topological Aspects of QFT  R. Kaul  Topological quantum field theoriesa meeting ground for physicists and mathematicians
 E. Witten  Quantum field theory and the Jones polynomial
 H. Banerjee  Chiral anomalies in field theories
 W.M. Zhang  Coherent states in field theory
 N. Mukunda  Pancharatnam, Bargmann and Berry phasesa retrospective
 J. Schechter and H. Weigel  The Skyrme model for baryons
Part C: Formal Methods in QFT  R. Ramanathan  Euclidean methods in quantum field theory
 A. Das  Topics in finite temperature field theory
 B. M. Sodermark  Integrable models and the Toda lattice hierarchy
 P. P. Srivastava  Perspectives of lightfront quantized field theorysome new results
 D. S. Kulshreshtha  Gauge symmetry in chiral electrodynamics
 L. Lusanna  Towards a unified description of the four interactions in terms of DiracBergmann observables
Part D: Extension of QFT Frontiers  R. N. Mohapatra  Supersymmetry and particle physics
 N. Sakai  Supersymmetry in field theory
 W. Nahm  Conformal field theory: A bridge over troubled waters
 J. H. Schwarz  Superstring theoryan overview
 J. Maharana  Recent developments in string theory
 L. Bonora  YangMills theory and matrix string theory
Part E: QFT in \(2+1\) Dimensions  A. Khare  Fractional statistics and ChernSimons field theory in \(2+1\) dimensions
 R. Rajaraman  Chern Simons field and composite bosons in the quantum hall system
Part F: Methods of Strong Interactions in QFT  O. Pene  Hadrons from QCDachievements and prospects
 L. S. Kisslinger  QCD sum rules in hadronic and nuclear physics
 V. A. Karmanov  Lightfront dynamics
 A. N. Mitra  3D4D interlinkage of BS amplitudesunified view of \(Q\overline{Q}\) and \(QQQ\) dynamics
 M. Moshinsky  The harmonic oscillator in quantum theorya powerful bridge in physics
Conclusion  D. Home  Modern perspectives on foundations of quantum mechanics
