Quantum triangulations : moduli spaces, strings, and quantum computing /
<p>Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological qu...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2012.
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| Series: | Lecture Notes in Physics
845 |
| Subjects: | |
| Online Access: | Click here to view the full text content |
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| Summary: | <p>Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physical theory to make it more amenable for numerical treatment. </p><p> </p><p>The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulated manifolds and quantum physics to the deepest.</p><p> </p><p>This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications. </p> |
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| Physical Description: | 1 online resource (XVII, 284 pages) 90 illustration., 10 illustration. in colour. digital. |
| ISBN: | 9783642244407 |
| ISSN: | 0075-8450 |