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Quantum Field Theory, Conformal Group Theory, Conformal Field Theory, Mathematical and...
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Home > Mathematics Books > Group Theory > Item 270
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Quantum Field Theory, Conformal Group Theory, Conformal Field Theory, Mathematical and...
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by Vee Burke and David M. Ackerman
Sales Rank: 3805632
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$48.15
At Amazon
on 12-6-2008
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Hardcover: 290 pages
Publisher: Nova Science Pub Inc December 15, 2001
Language: English
ISBN-10: 1560729929
ISBN-13: 978-1560729921
Product Dimensions:
9.1 x 6.2 x 1 inches
Shipping Weight: 1.4 pounds
Product Description
Conformal groups illustrate and emphasize how rich group theory is, something usually not recognized, and they also emphasize how fundamental geometry is in physics (and conversely). Reasons, and implications for physics, are explored as a start to the study of the vast fields of mathematics and physics suggested and required. These groups have nonlinear transformations, ones with singularities. Other aspects also show richness beyond what is usually realized, giving possibilities of many new insights and applications, to physics, mathematics, group theory, geometry, (nonlinear) differential equations, special functions, and likely elsewhere, including optics, squeezing, quantum communication, quantum computation, cryptography, and so on. There are also suggestions about relations to the well-known elementary-particle mass-level formula, which is reviewed. And representations of the groups for dimension greater than 2 have Clifford algebras as entries in their matrices. The formalism developed for quantum field theory, as a foundation for the study of conformal field theory, itself has important applications. For example while the obvious reason that the proton cannot decay --- baryon number thus lepton number must be conserved --- is almost trivial, the formalism allows a mathematical proof. Other insights provided by this and the conformal group can also be seen. How much of physics does geometry (through its transformation group) determine? As we see, a very large part. Might the geometry in which physics takes place, in which we exist, completely determine the physics within it, and conversely? These studies are motivated by that, and so attempt to raise questions, to show possibilities, to stimulate. These subjects are indeed stimulating.
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Quantum Field Theory, Conformal Group Theory, Conformal Field Theory, Mathematical and...
Available from Amazon
Price: $48.15
Updated on 12-6-2008
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