mty::Topology Namespace Reference

Namespace containing topology utilities for Feynman diagram calculations. More...

Enumerations
enum	Type {   Tadpole = (1 << 0),   Mass = (1 << 1),   Triangle = (1 << 2),   Box = (1 << 3),   Pentagon = (1 << 4),   Any = Tadpole | Mass | Triangle | Box | Pentagon }
	Enumeration of the different possible topologies. More...

Functions
Type	legsToTopology (int nLegs)
	Converts an integer corresponding to a number of legs to a topology. More...
std::ostream &	operator<< (std::ostream &out, Type t)
	Overload of output stream operator for a topology. More...

Variables
constexpr auto	topologyList
	List of the different possible topologies. More...
constexpr auto	names
	Names for topologies. More...

Detailed Description

Namespace containing topology utilities for Feynman diagram calculations.

Enumeration Type Documentation

Type

enum mty::Topology::Type

Enumeration of the different possible topologies.

Enumeration values are aligned on powers of 2 to be able to compose topologies using the pipe | as the logical 'or'. For example, Triangle | Box corresponds to a topology "triangle or box". The topology Any refers to all the topologies and is equivalent to

Any = Tadpole | Mass | Triangle | Box | Pentagon

The topology does not count the number of propagators in the loop but the number of particles connected to it. For only 3-vertices those two situations are equivalent but when higher order vertices are connected to the loop they are not. For example, a 4-vertex looping with a 3-vertex by 2 propagators is a Triangle because the loop is connected to three external particles (2 from the 4-vertex + 1 form the 3-vertex).

Enumerator
Tadpole	Tadpole 1-point function.
Mass	Mass correction 2-point function.
Triangle	Triangle 3-point function.
Box	Box 4-point function.
Pentagon	Pentagon 5-point function.
Any	Any topologies i.e. combination of all 5 possible topologies.

Function Documentation

legsToTopology()

Type mty::Topology::legsToTopology ( int  nLegs )

inline

Converts an integer corresponding to a number of legs to a topology.

Parameters

nLegs

number of legs outside the loop.

Returns

The topology corresponding to a loop with nLegs legs.

operator<<()

std::ostream& mty::Topology::operator<< ( std::ostream &  out, Type  t  )

inline

Overload of output stream operator for a topology.

Parameters

out	Output stream.
t	Type of the topology to display.

Returns

The modified output stream.

Variable Documentation

names

constexpr auto mty::Topology::names

inline

Initial value:

= {
        "Tadpole", "Mass", "Triangle", "Box", "Pentagon"
    }

Names for topologies.

topologyList

constexpr auto mty::Topology::topologyList

inline

Initial value:

= {
        Tadpole, Mass, Triangle, Box, Pentagon
    }

List of the different possible topologies.