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Titlebook: Conformal Quantum Field Theory in D-dimensions; Efim S. Fradkin,Mark Ya. Palchik Book 1996 Springer Science+Business Media Dordrecht 1996

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发表于 2025-3-21 18:47:59 | 显示全部楼层 |阅读模式
书目名称Conformal Quantum Field Theory in D-dimensions
编辑Efim S. Fradkin,Mark Ya. Palchik
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Conformal Quantum Field Theory in D-dimensions;  Efim S. Fradkin,Mark Ya. Palchik Book 1996 Springer Science+Business Media Dordrecht 1996
描述Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory in a D-diuwnsional space. One of the most promising trends is constructing an pxact solution for a cprtain class of models. This task seems to be quite feasible in the light of recent resllits. The situation here is to some extent similar to what was going on in the past ypars with the two-dimensional quantum field theory. Our investigation of conformal Ward identities in a D-dimensional space, carried out as far hack as the late H. J7Gs, showed that in the D-dimensional quantum field theory, irrespective of the type of interartion, there exists a special set of states of the field with the following property: if we rpqllire that one of these states should vanish, this determines an exact solution of 3. certain field model. These states are analogous to null-vectors which determine the minimal models in the two-dimensional field theory. On the other hand, the recent resparches supplied us with a number of indications on the existencp of an intinite-parampter algebra analogous to the Virasoro algebra in spaces of higher dimensions D 2
出版日期Book 1996
关键词Minkowski space; Minkowski spacetime; algebra; differential equation; field; field theory; gauge theories;
版次1
doihttps://doi.org/10.1007/978-94-015-8757-0
isbn_softcover978-90-481-4732-8
isbn_ebook978-94-015-8757-0
copyrightSpringer Science+Business Media Dordrecht 1996
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发表于 2025-3-21 22:03:16 | 显示全部楼层
https://doi.org/10.1007/978-1-4842-9239-6of Casimir operators, which have the same formal expressions as those in Minkowski space. In irreducible representations, denoted below as . the Casimir operators depend on the parameters ., .. This classifiction was already discussed in Chapter I.
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Claudia Tovar Guerra,Verónica Pardo ArgáezLet us consider a scalar field .(.) in a Minkowski space. Suppose that along with a conformally in variant vacuum . there exists another vacuum . with a lower symmetry. Let us consider a mean field ..
发表于 2025-3-22 11:18:13 | 显示全部楼层
Claudia Tovar Guerra,Verónica Pardo ArgáezLet .(.) be a scalar field in Minkowski space. Consider its variations under the action of a group ., which is meant to represent either the space-time transformations group (Poincaré or conformal) or the internal symmetry group.
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Wilson López López,Laura K. TaylorThe conformal partner of the current is the vector field .(.) with dimension
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https://doi.org/10.1007/978-3-030-77688-6As shown in section 5 of the Chapter II, the Hilbert space . of the conformal theory represents a direct sum of subspaces ..
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Defining and Adopting Protocols,Let . be a gauge field in a 4-dimensional Euclidean space with values in the algebra of the gauge group .. Let us consider the tensor field ..
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