/__w/DiFfRG_current/DiFfRG_current/DiFfRG/include/DiFfRG/physics/integration/vacuum/integrator_p2_1ang.hh File Reference#
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DiFfRG
Discretization Framework for functional Renormalization Group flows
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integrator_p2_1ang.hh File Reference
#include <DiFfRG/common/math.hh>#include <DiFfRG/physics/integration/quadrature_integrator.hh>#include <array>Go to the source code of this file.
Classes | |
| class | DiFfRG::internal::Transform_p2_1ang< dim, NT, KERNEL > |
| class | DiFfRG::Integrator_p2_1ang< dim, NT, KERNEL, ExecutionSpace > |
| Integrator_p2_1ang integrates a kernel \(K(p,\cos,\ldots)\) depending on the radial momentum \(p\) and the cosine of the single polar angle between the loop and external momentum as $$ \frac{S_{d-1}}{(2\pi)^{d}}\,\int_{-1}^1 dc\,(1-c^2)^{\frac{d-3}{2}}\,\int_0^\infty dp\, p^{d-1} K(p,c,\ldots) $$ in \(d\) dimensions, where \(S_{d-1}\) is the solid angle of the \((d-2)\)-sphere remaining after the polar angle is singled out. The zonal measure \((1-c^2)^{(d-3)/2}\) is supplied exactly by a Gauss-Jacobi angular quadrature, so it does not appear in the kernel. More... | |
Namespaces | |
| namespace | DiFfRG |
| namespace | DiFfRG::internal |
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