Universality classes of matrix models in 4-έ dimensions
The role that matrix models, in (4-έ) dimensions, play in quantum critical phenomena is explored. We begin with a traceless Hermitean scalar matrix model and add operators that couple to fermions, and gauge fields. Through each stage of generalization the universality class of the resulting theor...
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| Language: | English |
| Published: |
2009
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| Online Access: | http://hdl.handle.net/2429/4414 |
| Summary: | The role that matrix models, in (4-έ) dimensions, play in quantum critical phenomena
is explored. We begin with a traceless Hermitean scalar matrix model and add operators
that couple to fermions, and gauge fields. Through each stage of generalization the
universality class of the resulting theory is explored. We also argue that chiral symmetry
breaking in (2 + 1) dimensional Q C D can be identified with Neel ordering in two
dimensional quantum antiferromagents. When operators that drive the phase transition
are added to these theories, we postulate that the resulting quantum critical behavior
lies in the universality class of gauged Yukawa matrix models. As a consequence of the
phase structure of this matrix model, the chiral transition is typically of first order with
computable critical exponents. |
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