Multiple Ising Spins Coupled to 2d Quantum Gravity
We study a model in which p independent Ising spins are coupled to 2d quantum gravity (in the form of dynamical planar phi-cubed graphs). Consideration is given to the p tends to infinity limit in which the partition function becomes dominated by certain graphs; we identify most of these graphs. A t...
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| Format: | Journal article |
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1994
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| _version_ | 1826271741710696448 |
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| author | Harris, MG Wheater, J |
| author_facet | Harris, MG Wheater, J |
| author_sort | Harris, MG |
| collection | OXFORD |
| description | We study a model in which p independent Ising spins are coupled to 2d quantum gravity (in the form of dynamical planar phi-cubed graphs). Consideration is given to the p tends to infinity limit in which the partition function becomes dominated by certain graphs; we identify most of these graphs. A truncated model is solved exactly providing information about the behaviour of the full model in the limit of small beta. Finally, we derive a bound for the critical value of the coupling constant, beta_c and examine the magnetization transition in the limit p tends to zero. |
| first_indexed | 2024-03-06T22:01:29Z |
| format | Journal article |
| id | oxford-uuid:4ebebf8e-5e6a-49cc-9123-991792684128 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:01:29Z |
| publishDate | 1994 |
| record_format | dspace |
| spelling | oxford-uuid:4ebebf8e-5e6a-49cc-9123-9917926841282022-03-26T16:02:56ZMultiple Ising Spins Coupled to 2d Quantum GravityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4ebebf8e-5e6a-49cc-9123-991792684128Symplectic Elements at Oxford1994Harris, MGWheater, JWe study a model in which p independent Ising spins are coupled to 2d quantum gravity (in the form of dynamical planar phi-cubed graphs). Consideration is given to the p tends to infinity limit in which the partition function becomes dominated by certain graphs; we identify most of these graphs. A truncated model is solved exactly providing information about the behaviour of the full model in the limit of small beta. Finally, we derive a bound for the critical value of the coupling constant, beta_c and examine the magnetization transition in the limit p tends to zero. |
| spellingShingle | Harris, MG Wheater, J Multiple Ising Spins Coupled to 2d Quantum Gravity |
| title | Multiple Ising Spins Coupled to 2d Quantum Gravity |
| title_full | Multiple Ising Spins Coupled to 2d Quantum Gravity |
| title_fullStr | Multiple Ising Spins Coupled to 2d Quantum Gravity |
| title_full_unstemmed | Multiple Ising Spins Coupled to 2d Quantum Gravity |
| title_short | Multiple Ising Spins Coupled to 2d Quantum Gravity |
| title_sort | multiple ising spins coupled to 2d quantum gravity |
| work_keys_str_mv | AT harrismg multipleisingspinscoupledto2dquantumgravity AT wheaterj multipleisingspinscoupledto2dquantumgravity |