Recent content by wac03
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Graduate Answers of the following integrals
you have any intuition about the answers of the following integrals, \int_{0}^{1}\int_{0}^{1}u*PolyLog[u*v]*Log[v]/(1-u*vdudv. and \int_{0}^{1}\int_{0}^{1}u*PolyLog[u*v]*Log[1-v]/(1-u*v)dudv. and \int_{0}^{1}PolyLog[4,u/(u-1)]du. thank you in advance wissam -
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Graduate Proofs of Symmetrized Trace of F^4 for Non-Abelian Gauge Field
my question is pretty technical, in the course of studying the non-abelian Born-Infeld, i have tried to write out the Born-Infeld langrangian written using the symmetrized trace formalism, i have met at the fourth order of field strength the term sTr(F^4)...- wac03
- Thread
- Trace
- Replies: 1
- Forum: Beyond the Standard Models
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Graduate How Does Covariant Derivative Relate to Curvature in Nonabelian Gauge Fields?
Dear daniel we know that F=dA+1/2[A,A]=dA+A^A (differential forms) F_{mu nu}=[D_{mu},D_{nu}] in any local basis. F here is g-valued F_{mu nu}=F^a T_{a} where T_{a} is the generator of g. In the irre. adjoint representation of g gives C_{ab}^{c}=(T_{a})^{c}_{b} where C is the...- wac03
- Post #5
- Forum: Differential Geometry
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Graduate How Does Covariant Derivative Relate to Curvature in Nonabelian Gauge Fields?
the gauge field is the yang-mills Dear daniel Thank u for your interest in my question, the story here, physically talking means that the gauge field is the non-abelain gauge field "A_{mu}, and the field strength is the F_{mu nu}. the gauge field is not the one of the gravidation PS...- wac03
- Post #3
- Forum: Differential Geometry
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Graduate How Does Covariant Derivative Relate to Curvature in Nonabelian Gauge Fields?
Dear friends I am here with mathematical physics question: we know tha if i have a compact Lie group G with g its Lie algebra, and a connection A on the fibre, For nonabelain Lie algebra The relation between covariant derivative and the curvature of A is [ tex...- wac03
- Thread
- Field Gauge
- Replies: 5
- Forum: Differential Geometry