Series expansions for lattice Green functions release_7ukoxqcamraqhku4wgwpqezrly

by Z. Maassarani

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abstracts[] {'sha1': '551bd74a90dc6d04a4b6b404d58a6baab4177f69', 'content': 'Lattice Green functions appear in lattice gauge theories, in lattice models\nof statistical physics and in random walks. Here, space coordinates are treated\nas parameters and series expansions in the mass are obtained. The singular\npoints in arbitrary dimensions are found. For odd dimensions these are branch\npoints with half odd-integer exponents, while for even dimensions they are of\nthe logarithmic type. The differential equations for one, two and three\ndimensions are derived, and the general form for arbitrary dimensions is\nindicated. Explicit series expressions are found in one and two dimensions.\nThese series are hypergeometric functions. In three and higher dimensions the\nseries are more complicated. Finally an algorithmic method by Vohwinkel,\nLuscher and Weisz is shown to generalize to arbitrary anisotropies and mass.', 'mimetype': 'text/plain', 'lang': 'en'}
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ext_ids {'doi': None, 'wikidata_qid': None, 'isbn13': None, 'pmid': None, 'pmcid': None, 'core': None, 'arxiv': 'hep-lat/0003015v1', 'jstor': None, 'ark': None, 'mag': None, 'doaj': None, 'dblp': None, 'oai': None, 'hdl': None}
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language en
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release_date 2000-03-20
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release_type article
release_year 2000
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title Series expansions for lattice Green functions
version v1
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arxiv.base_id hep-lat/0003015
arxiv.categories ['hep-lat', 'cond-mat', 'math-ph', 'math.MP']
arxiv.comments 18 pages, Latex. v2: Statement corrected in section 2. v3: A remark and 5 references added. v4: Four references added
arxiv.journal_ref J.Phys.A33:5675-5692,2000
superceded True