You can SaveChanges if you're using FireFox or InternetExplorer:\n# if you're using Windows XP you might run into ServicePack2Problems\n# right click on [[this link|empty.html]] and select 'Save link as...' or 'Save target as...'\n** do ''not'' try to use the File/Save command in your browser because of SaveUnpredictabilities.\n** choose where to save the file, and what to call it (but keep the .HTML extension)\n# open the newly downloaded file in your browser\n# click the 'options' button on the right to set your username\n# edit, create and delete the tiddlers you want\n** you can change the SpecialTiddlers to change the SiteTitle and MainMenu etc.\n# click the 'save changes' button on the right to save your changes\n# TiddlyWiki will make a backup copy of the existing file, and then replace it with the new version\n
Bob's $L_{\\small A}T^{\\small E}X$ Wiki
a reusable non-linear personal web notebook with Latex
For evaluating loop integrals:\n(p. 190 Peskin & Schroeder, Appendix C.3 Field, Appendix A.4 Peskin & Schroeder)\n\nSee also [[Dimensional Regularization]].\n\n$$\\frac{1}{A_1A_2...A_n} = \\int^1_0 dx_1dx_2...dx_n \\delta(\\sum x_i - 1) \\frac{(n-1)!}{(x_1A_1+x_2A_2 + ... x_nA_n)^{n}}$$\n\n$$\n\\int \\frac{d^Nl}{(2\\pi)^N} \\frac{(l^2)^R}{(l^2-m)^M} = \n \\frac{i(-1)^{(R-M)}}{(16\\pi^2)^{N/4}} m^{R-M+N/2} \n \\frac{\\Gamma(R+\\frac{1}{2}N) \\Gamma(M-R-\\frac{1}{2}N)}{\\Gamma(\\frac{1}{2}N)\\Gamma(M)}\n$$\n\nWick rotation:\n$$\n\\ell^0_E = i\\ell \\hspace{1cm} \\vec{\\ell}_E=-\\vec{\\ell}\n$$\n\nGamma function:\n$$\n\\Gamma(\\epsilon) = \\frac{1}{\\epsilon} - \\gamma + \\mathcal{O}(\\epsilon)\n$$\n\n\nPolarization sums:\n\n* Massive gauge boson (Halzen & Martin p. 139):\n\n $$\n \\sum_{\\lambda}\\epsilon_\\mu^{\\lambda*} \\epsilon_\\nu^\\lambda \n = -g_{\\mu \\nu} + \\frac{p_\\mu p_\\nu}{M^2}\n $$\n\n* Fermion (Halzen and Martin, back flap): (requires slashchar, don't know how to add this to jsMath)
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