FeynmanDiagram

Documentation for FeynmanDiagram.

• FeynmanDiagram.Taylor
• FeynmanDiagram.ComputationalGraphs.FeynmanGraph
• FeynmanDiagram.ComputationalGraphs.Graph
• FeynmanDiagram.FrontEnds.BareGreenNId
• FeynmanDiagram.FrontEnds.BareHoppingId
• FeynmanDiagram.FrontEnds.ConnectedGreenNId
• FeynmanDiagram.FrontEnds.DiagramId
• FeynmanDiagram.FrontEnds.GreenNId
• FeynmanDiagram.FrontEnds.LabelProduct
• FeynmanDiagram.FrontEnds.LoopPool
• FeynmanDiagram.FrontEnds.Parquet.ParquetBlocks
• FeynmanDiagram.FrontEnds.PropagatorId
• FeynmanDiagram.QuantumOperators.OperatorProduct
• FeynmanDiagram.QuantumOperators.QuantumOperator
• FeynmanDiagram.Taylor.ParamsTaylor
• FeynmanDiagram.Taylor.TaylorSeries
• FeynmanDiagram.Taylor.TaylorSeries
• Base.:*
• Base.:*
• Base.:*
• Base.:*
• Base.:*
• Base.:*
• Base.:*
• Base.:*
• Base.:*
• Base.:+
• Base.:+
• Base.:+
• Base.:+
• Base.:+
• Base.:-
• Base.:-
• Base.:-
• Base.:^
• Base.adjoint
• Base.adjoint
• Base.convert
• Base.length
• Base.one
• Base.show
• Base.show
• Base.size
• Base.size
• FeynmanDiagram.Compilers.compile
• FeynmanDiagram.Compilers.compile_C
• FeynmanDiagram.Compilers.compile_Julia
• FeynmanDiagram.Compilers.to_dot_str
• FeynmanDiagram.Compilers.to_julia_str
• FeynmanDiagram.Compilers.to_python_str
• FeynmanDiagram.Compilers.to_static
• FeynmanDiagram.ComputationalGraphs.alleq
• FeynmanDiagram.ComputationalGraphs.build_derivative_graph
• FeynmanDiagram.ComputationalGraphs.burn_from_targetleaves!
• FeynmanDiagram.ComputationalGraphs.collect_labels
• FeynmanDiagram.ComputationalGraphs.constant_graph
• FeynmanDiagram.ComputationalGraphs.count_expanded_operation
• FeynmanDiagram.ComputationalGraphs.count_leaves
• FeynmanDiagram.ComputationalGraphs.count_operation
• FeynmanDiagram.ComputationalGraphs.diagram_type
• FeynmanDiagram.ComputationalGraphs.disconnect_subgraphs!
• FeynmanDiagram.ComputationalGraphs.drop_topology
• FeynmanDiagram.ComputationalGraphs.eldest
• FeynmanDiagram.ComputationalGraphs.external_indices
• FeynmanDiagram.ComputationalGraphs.external_labels
• FeynmanDiagram.ComputationalGraphs.external_legs
• FeynmanDiagram.ComputationalGraphs.external_operators
• FeynmanDiagram.ComputationalGraphs.external_vertex
• FeynmanDiagram.ComputationalGraphs.feynman_diagram
• FeynmanDiagram.ComputationalGraphs.flatten_all_chains!
• FeynmanDiagram.ComputationalGraphs.flatten_all_chains!
• FeynmanDiagram.ComputationalGraphs.flatten_chains
• FeynmanDiagram.ComputationalGraphs.flatten_chains!
• FeynmanDiagram.ComputationalGraphs.flatten_prod!
• FeynmanDiagram.ComputationalGraphs.flatten_sum!
• FeynmanDiagram.ComputationalGraphs.forwardAD
• FeynmanDiagram.ComputationalGraphs.forwardAD_root!
• FeynmanDiagram.ComputationalGraphs.group
• FeynmanDiagram.ComputationalGraphs.has_zero_subfactors
• FeynmanDiagram.ComputationalGraphs.haschildren
• FeynmanDiagram.ComputationalGraphs.id
• FeynmanDiagram.ComputationalGraphs.interaction
• FeynmanDiagram.ComputationalGraphs.is_external
• FeynmanDiagram.ComputationalGraphs.is_internal
• FeynmanDiagram.ComputationalGraphs.isapprox_one
• FeynmanDiagram.ComputationalGraphs.isassociative
• FeynmanDiagram.ComputationalGraphs.isbranch
• FeynmanDiagram.ComputationalGraphs.ischain
• FeynmanDiagram.ComputationalGraphs.isequiv
• FeynmanDiagram.ComputationalGraphs.isleaf
• FeynmanDiagram.ComputationalGraphs.linear_combination
• FeynmanDiagram.ComputationalGraphs.linear_combination
• FeynmanDiagram.ComputationalGraphs.linear_combination
• FeynmanDiagram.ComputationalGraphs.linear_combination
• FeynmanDiagram.ComputationalGraphs.merge_all_linear_combinations!
• FeynmanDiagram.ComputationalGraphs.merge_all_linear_combinations!
• FeynmanDiagram.ComputationalGraphs.merge_all_multi_products!
• FeynmanDiagram.ComputationalGraphs.merge_all_multi_products!
• FeynmanDiagram.ComputationalGraphs.merge_linear_combination
• FeynmanDiagram.ComputationalGraphs.merge_linear_combination!
• FeynmanDiagram.ComputationalGraphs.merge_multi_product
• FeynmanDiagram.ComputationalGraphs.merge_multi_product!
• FeynmanDiagram.ComputationalGraphs.multi_product
• FeynmanDiagram.ComputationalGraphs.multi_product
• FeynmanDiagram.ComputationalGraphs.name
• FeynmanDiagram.ComputationalGraphs.onechild
• FeynmanDiagram.ComputationalGraphs.open_parenthesis!
• FeynmanDiagram.ComputationalGraphs.operator
• FeynmanDiagram.ComputationalGraphs.optimize
• FeynmanDiagram.ComputationalGraphs.optimize!
• FeynmanDiagram.ComputationalGraphs.orders
• FeynmanDiagram.ComputationalGraphs.plot_tree
• FeynmanDiagram.ComputationalGraphs.propagator
• FeynmanDiagram.ComputationalGraphs.relabel
• FeynmanDiagram.ComputationalGraphs.relabel!
• FeynmanDiagram.ComputationalGraphs.remove_all_zero_valued_subgraphs!
• FeynmanDiagram.ComputationalGraphs.remove_all_zero_valued_subgraphs!
• FeynmanDiagram.ComputationalGraphs.remove_duplicated_leaves!
• FeynmanDiagram.ComputationalGraphs.remove_zero_valued_subgraphs
• FeynmanDiagram.ComputationalGraphs.remove_zero_valued_subgraphs!
• FeynmanDiagram.ComputationalGraphs.replace_subgraph
• FeynmanDiagram.ComputationalGraphs.replace_subgraph!
• FeynmanDiagram.ComputationalGraphs.set_id!
• FeynmanDiagram.ComputationalGraphs.set_name!
• FeynmanDiagram.ComputationalGraphs.set_operator!
• FeynmanDiagram.ComputationalGraphs.set_operator!
• FeynmanDiagram.ComputationalGraphs.set_orders!
• FeynmanDiagram.ComputationalGraphs.set_subgraph!
• FeynmanDiagram.ComputationalGraphs.set_subgraph_factor!
• FeynmanDiagram.ComputationalGraphs.set_subgraph_factors!
• FeynmanDiagram.ComputationalGraphs.set_subgraph_factors!
• FeynmanDiagram.ComputationalGraphs.set_subgraphs!
• FeynmanDiagram.ComputationalGraphs.set_subgraphs!
• FeynmanDiagram.ComputationalGraphs.set_weight!
• FeynmanDiagram.ComputationalGraphs.standardize_labels
• FeynmanDiagram.ComputationalGraphs.standardize_labels!
• FeynmanDiagram.ComputationalGraphs.subgraph
• FeynmanDiagram.ComputationalGraphs.subgraph_factor
• FeynmanDiagram.ComputationalGraphs.subgraph_factors
• FeynmanDiagram.ComputationalGraphs.subgraph_factors
• FeynmanDiagram.ComputationalGraphs.subgraphs
• FeynmanDiagram.ComputationalGraphs.subgraphs
• FeynmanDiagram.ComputationalGraphs.topology
• FeynmanDiagram.ComputationalGraphs.unary_istrivial
• FeynmanDiagram.ComputationalGraphs.unique_nodes!
• FeynmanDiagram.ComputationalGraphs.vertex
• FeynmanDiagram.ComputationalGraphs.vertices
• FeynmanDiagram.ComputationalGraphs.weight
• FeynmanDiagram.FrontEnds.GV.diagsGV
• FeynmanDiagram.FrontEnds.GV.diagsGV_ver4
• FeynmanDiagram.FrontEnds.GV.read_diagrams
• FeynmanDiagram.FrontEnds.Parquet.ep_coupling
• FeynmanDiagram.FrontEnds.Parquet.get_ver4I
• FeynmanDiagram.FrontEnds.Parquet.green
• FeynmanDiagram.FrontEnds.Parquet.initialize_vertex4I_diags
• FeynmanDiagram.FrontEnds.Parquet.innerTauNum
• FeynmanDiagram.FrontEnds.Parquet.mergeby
• FeynmanDiagram.FrontEnds.Parquet.polarization
• FeynmanDiagram.FrontEnds.Parquet.sigma
• FeynmanDiagram.FrontEnds.Parquet.update_extKT
• FeynmanDiagram.FrontEnds.Parquet.update_extKT!
• FeynmanDiagram.FrontEnds.Parquet.vertex3
• FeynmanDiagram.FrontEnds.Parquet.vertex4
• FeynmanDiagram.FrontEnds.index_to_linear
• FeynmanDiagram.FrontEnds.leafstates
• FeynmanDiagram.FrontEnds.leafstates
• FeynmanDiagram.FrontEnds.linear_to_index
• FeynmanDiagram.FrontEnds.reconstruct
• FeynmanDiagram.QuantumOperators.correlator_order
• FeynmanDiagram.QuantumOperators.fermionic_annihilation
• FeynmanDiagram.QuantumOperators.isannihilation
• FeynmanDiagram.QuantumOperators.iscreation
• FeynmanDiagram.QuantumOperators.isfermionic
• FeynmanDiagram.QuantumOperators.isfermionic
• FeynmanDiagram.QuantumOperators.normal_order
• FeynmanDiagram.QuantumOperators.parity
• FeynmanDiagram.QuantumOperators.parity_old
• FeynmanDiagram.Taylor.displayBigO
• FeynmanDiagram.Taylor.getcoeff
• FeynmanDiagram.Taylor.getderivative
• FeynmanDiagram.Taylor.set_variables
• FeynmanDiagram.Taylor.taylor_binomial
• FeynmanDiagram.Taylor.taylor_factorial
• FeynmanDiagram.Taylor.use_show_default
• Parameters.reconstruct

Library Outline

• Quantum operator and its product
• • API
• Computational graph for general feynman diagrams
• • API
• Taylor expansions in independent variables (support AbstractGraph)
• • API
• Front-end generates Feynman diagrams and translates then into a computational graph
• • API
• GV expansion to a computational graph
• • API
• Parquet Algorithm to Build Diagrams
• • API
  • Usage
• Compilers compile computational graphs to optimized source code for diverse platforms
• • API