Dimensional Regularization and Non-Renormalizable Quantum Field Theories
One major problem of contemporary physics is posed by the incompatibility of the two greatest theories of the 20th century: quantum mechanics (QM) and general relativity (GR). Joining them gives rise to a perturbatively non-renormalizable quantum gravity theory. The two theories, on their own, have been amazingly successful, and quantum mechanics, in particular, gave rise to many of the recent technical advances that have revolutionized our lives. Today, however, there is a lack of an over-arching theoretical framework within which both QM and GR successes could be accommodated. This book provides an accessible guideline to a possible over-arching framework, based on well-known mathematical structures.
Mario C. Rocca is a Professor of Mathematics and former Professor of Physics at the Faculty of Exact Sciences of the National University of La Plata, Argentina. He has also served as Professor of Mathematics at the Faculty of Exact Sciences of the National University of the Center of the Buenos Aires Province, Argentina, and Researcher of the National Council of Scientific and Technological Research of the Argentine Republic (CONICET). He has 100 publications to his credit.
Angelo Plastino, PhD, is Emeritus Professor of Physics at La Plata National University, Argentina, and Honorary Professor of the University of Buenos Aires. He is a Member of the Brazilian Academy of Sciences and the Mexican Academy of Sciences. He received the Scopus Elsevier Award for most cited Argentine physicist in the period 1998-2008, and is the author of 658 journal articles.
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