Path integral representation Sample Clauses

Path integral representation. Σ A spin foam σ is a 2-complex Γ with a representation jf of the gauge group G associated to each face and an intertwiner ie associated to each edge [58]. The gauge group can be either SO(4) or SO(1, 3) for the 4-dimensional models; it is SO(1, 2) or SO(3) in 3 spacetime dimensions; usually they are replaced with the corresponding universal covering groups. A Spin Foam Model [59] is de xxx, at least formally, by the partition function Z = w(Γ)Z[Γ] (129) where the amplitude associated to the spin foam Γ is Z[Γ] = Σ Y Af (jf ) Y Ae(jf , ie) Y Xx(jf , ie) . (130) jf ,ie
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  • Additional Representation Section 3 is amended by the addition at the end thereof of the following additional representations (provided that the representation in Section 3(h) will be made by Party A only):

  • Mutual Representations Each party hereby represents and warrants to the other party as follows:

  • Additional Representations Section 3 is hereby amended by adding the following additional subsections:

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  • Basic Representations Section 3(a) of the Agreement is hereby amended by the deletion of “and” at the end of Section 3(a)(iv); the substitution of a semicolon for the period at the end of Section 3(a)(v) and the addition of Sections 3(a)(vi), as follows:

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