LYCOS RETRIEVER 
Quantum Field Theory: Standard Model
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The quantum field theory seminar will meet Mondays, 2:00-3:00, room 939, starting 2004 January 26. This will be an instructional seminar for graduate students and anyone else interested. The goal is to give a rigorous account of the standard model for mathematicians. This goal will not be achieved. Richard Borcherds.
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Quantum field theory (see the entry on quantum field theory) yields infinitely many representations of the commutation relations, which are inequivalent to the Schrödinger representation of standard quantum mechanics. Such inequivalent representations can be generated by spontaneous symmetry breaking (see the entry on symmetry and symmetry breaking), occuring when the ground state (or the vacuum state) of a system is not invariant under the full group of transformations providing the conservation laws for the system. If symmetry breaks down, collective modes are generated (so-called Nambu-Goldstone boson modes), which propagate over the system and introduce long-range correlations in it.
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This text offers a balanced treatment of quantum field theory, providing bothformal presentation and numerous examples. It begins with the standard quantization of electrodynamics, culminating in the perturbative renormalization, and proceeds tofunctional methods, relativistic bound states, broken symmetries, nonabelian gauge fields, and asymptotic behavior. 157 figures. 1980 edition.
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The rise of quantum electrodynamics (QED) made possible a number of excellent textbooks on quantum field theory in the 1960s. However, the rise of quantum chromodynamics (QCD) and the Standard Model has made it urgent to have a fully modern textbook for the 1990s and beyond. Building on the foundation of QED,
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The combination and unification of ideas from intense-field quantum optics and quantum electrodynamics demands a thorough analysis of the interplay of the strong driving of an atom by a laser field (Rabi oscillations) and the vacuum fluctuations. In [13,14], an atom with two relevant energy levels driven by a strong near-resonant monochromatic laser field is studied as the easiest model system for the above problem.
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Standard Model