http://redberry.cc/ 2026-04-05T15:32:37+00:00 http://redberry.cc/ http://redberry.cc/lib/tpl/redberry/images/favicon.ico text/html 2015-11-21T12:37:00+00:00 poslavskysv http://redberry.cc/downloads?rev=1448109420&do=diff Downloads ---------- Installation One can install Redberry automatically without downloading its binaries by following the instructions on the Installation page (and we really recommend it). Likely you will prefer to follow the instructions from Installation page and need no to download Redberry text/html 2015-11-21T12:36:27+00:00 poslavskysv http://redberry.cc/installation?rev=1448109387&do=diff Installing and running Redberry ---------- Pre-requirements In order to install and use Redberry you need the following software installed on your system: * JDK version 7 or higher, download from Oracle website * Groovy version 2.0 or higher, download from the text/html 2015-11-21T11:11:56+00:00 poslavskysv http://redberry.cc/news?rev=1448104316&do=diff News ---------- [22-Oct-2015] Redberry 1.1.9 release New features: * -dimensional Dirac algebra (see e.g. DiracTrace) * New transformation for Dirac algebra: DiracSimplify, DiracOrder and SpinorsSimplify * setMandelstam5: generalised mandelstam variables for processes * Improved behaviour of DiracTrace * text/html 2015-11-21T11:03:53+00:00 poslavskysv http://redberry.cc/documentation:guide:list_of_transformations?rev=1448103833&do=diff List of common transformations Next topic: Overview of HEP features ---------- Here is a list of basic transformations available in Redberry: Apply index mapping applies mapping of indices to tensors: See Mappings of indices. Collect collects terms by patterns: See Collect . CollectScalars text/html 2015-11-21T11:03:12+00:00 poslavskysv http://redberry.cc/documentation:ref:expand?rev=1448103792&do=diff Expand ---------- Description * Expand expands out products and positive integer powers. * Expand[transformations] expands out products and positive integer powers and applies transformations at each level of expand procedure. Examples ---------- text/html 2015-11-21T11:02:19+00:00 poslavskysv http://redberry.cc/documentation:guide:overview_of_hep_features?rev=1448103739&do=diff Overview of HEP features Next topic: Mappings of indices ---------- Besides general features for manipulation with tensors and a wide range of general-purpose transformations, Redberry provides a set of transformations and functions required for high energy physics (HEP). Calculation of one-loop counterterms text/html 2015-11-21T10:47:55+00:00 poslavskysv http://redberry.cc/documentation:ref:symmetrize?rev=1448102875&do=diff Symmetrize ---------- Description * Symmetrize[indices] makes expression symmetries same to the symmetries of indices * Symmetrize[indices] makes expression symmetric only with respect to specified indices * Symmetrize[indices] will also multiply the result on the symmetric factor text/html 2015-11-21T10:47:13+00:00 poslavskysv http://redberry.cc/documentation:ref:fullyantisymmetrize?rev=1448102833&do=diff FullyAntiSymmetrize ---------- Description * FullyAntiSymmetrize makes expression antisymmetric with respect to all free indices * FullyAntiSymmetrize[indices] makes expression antisymmetric with respect to specified indices Examples ---------- text/html 2015-11-21T10:44:39+00:00 poslavskysv http://redberry.cc/documentation:ref:fullysymmetrize?rev=1448102679&do=diff FullySymmetrize ---------- Description * FullySymmetrize makes expression symmetric with respect to all free indices * FullySymmetrize[indices] makes expression symmetric with respect to specified indices Examples ---------- Symmetrize expression: text/html 2015-11-21T10:25:22+00:00 poslavskysv http://redberry.cc/documentation:ref:expandandeliminate?rev=1448101522&do=diff ExpandAndEliminate ---------- Description * ExpandAndEliminate expands out product of sums and positive integer powers and permanently eliminates metric and Kronecker deltas. * ExpandAndEliminate is equivalent to sequential applying Expand & EliminateMetrics text/html 2015-11-21T10:22:14+00:00 poslavskysv http://redberry.cc/documentation:ref:levicivitasimplify?rev=1448101334&do=diff LeviCivitaSimplify ---------- Description * LeviCivitaSimplify simplifies combinations of Levi-Civita tensors. * LeviCivitaSimplify.euclidean[eps] simplifies combinations of Levi-Civita tensors (denoted as eps) assuming that space is Euclidean. text/html 2015-11-21T10:18:08+00:00 poslavskysv http://redberry.cc/documentation:ref:spinorssimplify?rev=1448101088&do=diff SpinorsSimplify ---------- Description * SpinorsSimplify simplifies products of -matrices and Dirac spinors using Dirac equation * By default SpinorsSimplify works in ; for arbitrary one can use option SpinorsSimplify[[Dimension: D]] * One can directly set trace of identity matrix (e.g. for dimensional regularisation): text/html 2015-11-21T10:15:00+00:00 poslavskysv http://redberry.cc/documentation:ref:diracsimplify?rev=1448100900&do=diff DiracSimplify ---------- Description * DiracSimplify simplifies products of gamma matrices * By default DiracSimplify works in ; for arbitrary one can use option DiracSimplify[[Dimension: D]] * One can directly set trace of identity matrix (e.g. for dimensional regularisation): text/html 2015-11-20T20:52:01+00:00 poslavskysv http://redberry.cc/documentation:ref:setmandelstam?rev=1448052721&do=diff setMandelstam ---------- Description * setMandelstam([k1:m1, k2:m2, k3:m3, k4:m4]) generates a list of Mandelstam and mass shell substitutions for incoming particles with momentums k1 and k2 with masses m1 and m2 and outcoming particles with momentums text/html 2015-11-20T20:51:49+00:00 poslavskysv http://redberry.cc/documentation:ref:setmandelstam5?rev=1448052709&do=diff setMandelstam5 ---------- Description * setMandelstam5([k1:m1, k2:m2, k3:m3, k4:m4, k5:m5]) generates a list of generalised Mandelstam and mass shell substitutions for incoming particles with momentums k1 and k2 with masses m1 and m2 and outcoming particles with momentums text/html 2015-11-20T20:45:45+00:00 poslavskysv http://redberry.cc/documentation:ref:expandtensors?rev=1448052345&do=diff ExpandTensors ---------- Description * ExpandTensors expands out products of tensors leaving unexpended all symbolic terms. * ExpandTensors[transformations] or ExpandTensors[[Simplifications: transformations]] applies transformations at each level of expand procedure. text/html 2015-11-20T20:32:25+00:00 poslavskysv http://redberry.cc/documentation:ref:collect?rev=1448051545&do=diff Collect ---------- Description * Collect[var1, var2] collects together terms involving the same powers of specified vars. * Collect[var1, var2, ..., transformations] or Collect[var1, var2, ..., [Simplifications: transformations]] additionally applies specified transformations to the expression that forms the coefficient of each term obtained. text/html 2015-11-20T20:05:26+00:00 poslavskysv http://redberry.cc/documentation:ref:diracorder?rev=1448049926&do=diff DiracOrder ---------- Description * DiracOrder brings all products of -matrices to alphabetical order * By default DiracOrder works in ; for arbitrary one can use option DiracOrder[[Dimension: D]] * One can directly set trace of identity matrix (e.g. for dimensional regularisation): text/html 2015-11-20T19:58:11+00:00 poslavskysv http://redberry.cc/documentation:ref:diractrace?rev=1448049491&do=diff DiracTrace ---------- Description * DiracTrace calculates trace of Dirac matrices in dimensions * By default DiracTrace works in ; for arbitrary one can use option DiracTrace[[Dimension: D]] * One can directly set trace of identity matrix (e.g. for dimensional regularisation): text/html 2015-11-20T19:39:53+00:00 poslavskysv http://redberry.cc/documentation:ref:invertindices?rev=1448048393&do=diff InvertIndices Description * InvertIndices inverts indices of tensors * InvertIndices[type] inverts indices of specified type Examples ---------- Invert indices of some expression ---------- Invert only indices of certain type: See also