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- 21:18, 28 March 2007 General relativity/anti de Sitter solution (hist) [74 bytes] Dirtysouthafrican (Talk | contribs) (New page: See also anti de Sitter space (mathematics).)
- 21:18, 28 March 2007 General relativity/de Sitter solution (hist) [64 bytes] Dirtysouthafrican (Talk | contribs) (New page: See also de Sitter space (mathematics).)
- 20:49, 28 March 2007 /mathematics (hist) [1,133 bytes] Dirtysouthafrican (Talk | contribs) (New page: Math is inputted much in the same way as with <math>\mathrm{L\!\!^{{}_{\scriptstyle A}} \!\!\!\!\!\;\; T\!_{\displaystyle E} \! X}</math>. See [http://meta.wikimedia.org/wiki/Help:Formula ...)
- 00:01, 27 March 2007 Classical mechanics/rigid body dynamics/torque (hist) [4,340 bytes] Dirtysouthafrican (Talk | contribs) (New page: Let the force acting on the <math>p^{th}\,</math> particle be <math>\mathbf{F}_p\,</math> which is broken up into an external component and a component due to...)
- 23:30, 25 March 2007 asymptotically flat spacetime (hist) [477 bytes] Dirtysouthafrican (Talk | contribs) (New page: A spacetime that has same boundary structure as that of flat spacetime after [[math:Differential geometry/conformal compacti...)
- 18:54, 25 March 2007 Conformal field theory/conformal group/representations (hist) [318 bytes] Dirtysouthafrican (Talk | contribs) (New page: ==References== Further reading:<ref>G. Mack and A. Salam, [http://dx.doi.org/10.1016/0003-4916(69)90278-4 Finite component field representations of the conformal group], Ann. Phys. '''53''...)
- 18:46, 25 March 2007 Conformal field theory/conformal algebra (hist) [483 bytes] Dirtysouthafrican (Talk | contribs) (New page: ==Conformal transformations in d-dimensional Minkowski space== Let us first consider conformal transformations in <math>d\,</math> dimensions where <math>d\neq 2\,</math>. It is isomorphi...)
- 03:16, 25 March 2007 Quantum mechanics/Laplace-Runge-Lenz vector/proof that H and A i commute (hist) [1,940 bytes] Dirtysouthafrican (Talk | contribs) (New page: We wish to show that <math>\left[H, A_i\right] = 0\,</math>, i.e., that the Laplace-Runge-Lenz vector is a constant of motion: {| |- |<math>\left[H, A_i\right]\,</math> |<math>=\le...)
- 01:39, 25 March 2007 Classical mechanics/rigid body dynamics/angular velocity (hist) [2,418 bytes] Dirtysouthafrican (Talk | contribs) (New page: We may imagine that a particle is rigidly connected to some central, fixed point <math>O\,</math>), and that <math>\mathbf{r}'\,</math> be measured from th...)
- 18:13, 24 March 2007 Conformal field theory/conformal invariance (hist) [4,125 bytes] Dirtysouthafrican (Talk | contribs) (New page: Consider an action that is both diffeomorphism and Weyl invariant, written symbolically...)
- 17:42, 24 March 2007 Conformal field theory/Weyl invariance (hist) [2,147 bytes] Dirtysouthafrican (Talk | contribs) (New page: Suppose we have an action that is invariant under general coordinate transformations, i.e., [[math:Differential topology/diffeomorphi...)
- 22:42, 23 March 2007 Quantum field theory/necessity of field theory (hist) [712 bytes] Dirtysouthafrican (Talk | contribs) (New page: ==Historical viewpoint== Here we shall discuss the breakdown of single-particle quantum mechanics when special relativity is demanded. The root of the problem being the lack of finite-dime...)
- 01:28, 21 March 2007 Euler-Mascheroni constant (hist) [132 bytes] Dirtysouthafrican (Talk | contribs) (New page: :<math>\gamma = \lim_{n\to\infty}\left(1 + \frac{1}{2} + \frac{1}{3} + ... + \frac{1}{n} - \ln n\right)\approx 0.577215665\,</math>.)
- 04:47, 20 March 2007 Classical mechanics/rigid body dynamics/moment of inertia tensor (hist) [3,854 bytes] Dirtysouthafrican (Talk | contribs) (New page: ==Angular momentum of a rigid body== The angular velocity of a particle is given by :<math>\boldsymbol{\omega} = ...)
- 15:40, 19 March 2007 Quantum field theory/Wick rotation (hist) [2,261 bytes] Dirtysouthafrican (Talk | contribs) (New page: Assuming the metric is <math>\eta_{\mu\nu} = \operatorname{diag}(1,-1,-1,-1...)\,</math>, then define the Euclidean vector <math>\ell_E\,</math>: :<math>\...)
- 18:41, 18 March 2007 Quantum field theory/Schwinger-Feynman parameters (hist) [3,857 bytes] Dirtysouthafrican (Talk | contribs) (New page: :<math>\frac{1}{A_1A_2...A_n} = \int^1_0 dx_1dx_2...dx_n \delta(\sum x_i - 1) \frac{(n-1)!}{(x_1A_1+x_2A_2 + ... x_nA_n)^{n}}\,</math> ==Proof== Following <ref>J. A. Shapiro, [http://...)
- 02:57, 18 March 2007 Quantum field theory/regularization/dimensional regularization (hist) [1,123 bytes] Dirtysouthafrican (Talk | contribs) (New page: ==Formulae== The surface-area of a d-dimensional sphere is :<math>\int\!d\Omega_d = \frac{2\pi^{\frac{d}{2}}} {\Gamma\left(\frac{d}{2}\right) }\,<...)
- 01:21, 18 March 2007 Functional methods (hist) [52 bytes] Dirtysouthafrican (Talk | contribs) (New page: * Functional determinant)
- 19:06, 17 March 2007 spinor/dotted and undotted notation (hist) [214 bytes] Dirtysouthafrican (Talk | contribs) (New page: The two representations <math>\left(\frac{1}{2}, 0\right)\,</math> and <math>\left(0, \frac{1}{2}\right)\,</math> can be distinguished by using '''undotted'''...)
- 16:39, 17 March 2007 General relativity/Einstein tensor (hist) [249 bytes] Dirtysouthafrican (Talk | contribs) (New page: Defined as :<math>G_{\mu\nu} = R_{\mu\nu} - {\frac{1}{2}} g_{\mu\nu}R</math>, where <math>R_{\mu\nu}\,</math> is the Ricci tensor and <math>R\,</math...)
- 15:43, 16 March 2007 String theory/bosonic string/path integral quantization/Weyl anomaly (hist) [245 bytes] Dirtysouthafrican (Talk | contribs) (New page: ==References== Further reading: <ref>M. Lagraa, [http://dx.doi.org/10.1103/PhysRevD.44.1161 Bosonic string in background fields: Holomorphic Becchi-Rouet-Stora current and anomalies], Phys...)
- 15:09, 16 March 2007 String theory/bosonic string/path integral quantization/gauge fixing (hist) [7,774 bytes] Dirtysouthafrican (Talk | contribs) (New page: In order to fix the gauge <math>h_{ab} = \delta_{ab}\,</math> (after Wick rotation), we need to make use of the [[Quantum field theory/gauge theory/F...)
- 00:38, 15 March 2007 Differential geometry/Christoffel symbol of the 2nd kind (hist) [266 bytes] Dirtysouthafrican (Talk | contribs) (New page: The Christoffel symbols give the action of the affine connection on basis vectors: :<math>\nabla_{\vec{e}_\a...)
- 23:38, 13 March 2007 String theory/bosonic string/path integral quantization (hist) [938 bytes] Dirtysouthafrican (Talk | contribs) (New page: ==Gauge fixing== In order to fix the gauge <math>h_{ab} = \delta_{ab}\,</math> (after Wick rotation), we need to make use of the [[Quantum field theo...)
- 22:26, 13 March 2007 Quantum field theory/gauge theory/Faddeev-Popov procedure (hist) [230 bytes] Dirtysouthafrican (Talk | contribs) (New page: See Faddeev-Popov procedure (Maxwell field) and [[Editing Quantum field theory/Yang-Mills theory/Faddeev-Popov procedure|Fadd...)
- 17:55, 12 March 2007 Quantum field theory/Yang-Mills theory/maximal Abelian gauge (hist) [670 bytes] Dirtysouthafrican (Talk | contribs) (New page: ==References== Further readin: <ref>G. 't Hooft, [http://dx.doi.org/10.1016/0550-3213(81)90442-9 Topology of the gauge condition and new confinement phases in ...)
- 21:47, 10 March 2007 Quantum gravity/canonical quantum gravity (hist) [157 bytes] Dirtysouthafrican (Talk | contribs) (New page: See: * Vielbein * Spin connection * ADM formalism)
- 21:13, 10 March 2007 General relativity/prerequisites (hist) [109 bytes] Dirtysouthafrican (Talk | contribs) (New page: * Special relativity * Classical field theory * Differential topology * Differential geometry)
