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Package madgraph :: Package core :: Module color_algebra :: Class T
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Class T

source code

 object --+        
          |        
array.array --+    
              |    
    ColorObject --+
                  |
                 T

The T color object. Last two indices have a special meaning

Instance Methods [hide private]
 
__init__(self, *args)
Check for at least two indices		 source code
 
simplify(self)
Implement T(a,b,c,...,i,i) = Tr(a,b,c,...) and T(a,x,b,x,c,i,j) = 1/2(T(a,c,i,j)Tr(b)-1/Nc T(a,b,c,i,j))		 source code
 
pair_simplify(self, col_obj)
Implement T(a,...,i,j)T(b,...,j,k) = T(a,...,b,...,i,k) and T(a,x,b,i,j)T(c,x,d,k,l) = 1/2(T(a,d,i,l)T(c,b,k,j) -1/Nc T(a,b,i,j)T(c,d,k,l)).		 source code
 
complex_conjugate(self)
Complex conjugation.		 source code

Inherited from ColorObject: __copy__, __reduce__, __repr__, __str__, create_copy, replace_indices

Inherited from array.array: __add__, __contains__, __deepcopy__, __delitem__, __delslice__, __eq__, __ge__, __getattribute__, __getitem__, __getslice__, __gt__, __iadd__, __imul__, __iter__, __le__, __len__, __lt__, __mul__, __ne__, __rmul__, __setitem__, __setslice__, append, buffer_info, byteswap, count, extend, fromfile, fromlist, fromstring, fromunicode, index, insert, pop, read, remove, reverse, tofile, tolist, tostring, tounicode, write

Inherited from object: __delattr__, __format__, __hash__, __reduce_ex__, __setattr__, __sizeof__, __subclasshook__

Static Methods [hide private]

Inherited from ColorObject: __new__

Properties [hide private]

Inherited from array.array: itemsize, typecode

Inherited from object: __class__

Method Details [hide private]

__init__(self, *args)
(Constructor)

source code 

Check for at least two indices

Overrides: object.__init__

simplify(self)

source code 

Implement T(a,b,c,...,i,i) = Tr(a,b,c,...) and T(a,x,b,x,c,i,j) = 1/2(T(a,c,i,j)Tr(b)-1/Nc T(a,b,c,i,j))

Overrides: ColorObject.simplify

pair_simplify(self, col_obj)

source code  
Implement T(a,...,i,j)T(b,...,j,k) = T(a,...,b,...,i,k)
and T(a,x,b,i,j)T(c,x,d,k,l) = 1/2(T(a,d,i,l)T(c,b,k,j)    
                                -1/Nc T(a,b,i,j)T(c,d,k,l)).
Overrides: ColorObject.pair_simplify

complex_conjugate(self)

source code 

Complex conjugation. Overwritten here because the two last indices should be treated differently

Overrides: ColorObject.complex_conjugate

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