New Affine Coherent States Based on Elements of Nonrenormalizable Scalar Field Models
Recent proposals for a nontrivial quantization of covariant, nonrenormalizable, self-interacting, scalar quantum fields have emphasized the importance of quantum fields that obey affine commutation relations rather than canonical commutation relations. When formulated on a spacetime lattice, such mo...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2010/191529 |
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| _version_ | 1849413911657316352 |
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| author | John R. Klauder |
| author_facet | John R. Klauder |
| author_sort | John R. Klauder |
| collection | DOAJ |
| description | Recent proposals for a nontrivial quantization of covariant, nonrenormalizable, self-interacting, scalar quantum fields have emphasized the importance of quantum fields that obey affine commutation relations rather than canonical commutation relations. When formulated on a spacetime lattice, such models have a lattice version of the associated ground state, and this vector is used as the fiducial vector for the definition of the associated affine coherent states, thus ensuring that in the continuum limit, the affine field operators are compatible with the system Hamiltonian. In this article, we define and analyze the associated affine coherent states as well as briefly review the author's approach to nontrivial formulations of such nonrenormalizable models. |
| format | Article |
| id | doaj-art-6b67756dcfd147ed8abe42d02be908d3 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-6b67756dcfd147ed8abe42d02be908d32025-08-20T03:34:00ZengWileyAdvances in Mathematical Physics1687-91201687-91392010-01-01201010.1155/2010/191529191529New Affine Coherent States Based on Elements of Nonrenormalizable Scalar Field ModelsJohn R. Klauder0Department of Physics, University of Florida, Gainesville, FL 32611, USARecent proposals for a nontrivial quantization of covariant, nonrenormalizable, self-interacting, scalar quantum fields have emphasized the importance of quantum fields that obey affine commutation relations rather than canonical commutation relations. When formulated on a spacetime lattice, such models have a lattice version of the associated ground state, and this vector is used as the fiducial vector for the definition of the associated affine coherent states, thus ensuring that in the continuum limit, the affine field operators are compatible with the system Hamiltonian. In this article, we define and analyze the associated affine coherent states as well as briefly review the author's approach to nontrivial formulations of such nonrenormalizable models.http://dx.doi.org/10.1155/2010/191529 |
| spellingShingle | John R. Klauder New Affine Coherent States Based on Elements of Nonrenormalizable Scalar Field Models Advances in Mathematical Physics |
| title | New Affine Coherent States Based on Elements of Nonrenormalizable Scalar Field Models |
| title_full | New Affine Coherent States Based on Elements of Nonrenormalizable Scalar Field Models |
| title_fullStr | New Affine Coherent States Based on Elements of Nonrenormalizable Scalar Field Models |
| title_full_unstemmed | New Affine Coherent States Based on Elements of Nonrenormalizable Scalar Field Models |
| title_short | New Affine Coherent States Based on Elements of Nonrenormalizable Scalar Field Models |
| title_sort | new affine coherent states based on elements of nonrenormalizable scalar field models |
| url | http://dx.doi.org/10.1155/2010/191529 |
| work_keys_str_mv | AT johnrklauder newaffinecoherentstatesbasedonelementsofnonrenormalizablescalarfieldmodels |