Algebraic structures in quantum gravity Export

@article{citeulike:5872550, abstract = {Starting from a recently-introduced algebraic structure on spin foam models, we define a Hopf algebra by dividing with an appropriate quotient. The structure, thus defined, naturally allows for a mirror analysis of spin foam models with quantum field theory, from a combinatorial point of view. A grafting operator is introduced allowing for the equivalent of a Dyson-Schwinger equation to be written. Non-trivial examples are explicitly worked out. Finally, the physical significance of the results is discussed.}, archivePrefix = {arXiv}, author = {Tanasa, Adrian}, citeulike-article-id = {5872550}, citeulike-linkout-0 = {http://arxiv.org/abs/0909.5631}, citeulike-linkout-1 = {http://arxiv.org/pdf/0909.5631}, day = {30}, eprint = {0909.5631}, keywords = {ali, shojaei}, month = {Sep}, posted-at = {2009-11-02 23:56:37}, priority = {2}, title = {Algebraic structures in quantum gravity}, url = {http://arxiv.org/abs/0909.5631}, year = {2009} }

TY - JOUR ID - citeulike:5872550 L3 - citeulike-article-id:5872550 N2 - Starting from a recently-introduced algebraic structure on spin foam models, we define a Hopf algebra by dividing with an appropriate quotient. The structure, thus defined, naturally allows for a mirror analysis of spin foam models with quantum field theory, from a combinatorial point of view. A grafting operator is introduced allowing for the equivalent of a Dyson-Schwinger equation to be written. Non-trivial examples are explicitly worked out. Finally, the physical significance of the results is discussed. TI - Algebraic structures in quantum gravity KW - ali KW - shojaei AU - Tanasa, Adrian PY - 2009/Sep/30/ UR - http://arxiv.org/abs/0909.5631 ER -