def e(number_of_flavors=1):
return Field(name='e',
lorentz_irrep=R_spinor,
internal_irrep=sm_irrep('0 0 0'),
charges=[-1],
statistics=fermion,
dimension=1.5,
number_of_flavors=number_of_flavors)
def L(number_of_flavors=1):
return Field(name='l',
lorentz_irrep=L_spinor,
internal_irrep=sm_irrep('0 0 1'),
charges=[-Fraction(1, 2)],
statistics=fermion,
dimension=1.5,
number_of_flavors=number_of_flavors)
def u(number_of_flavors=1):
return Field(name='u',
lorentz_irrep=R_spinor,
internal_irrep=sm_irrep('1 0 0'),
charges=[Fraction(2, 3)],
statistics=fermion,
dimension=1.5,
number_of_flavors=number_of_flavors)
from basisgen import irrep, algebra, Field, EFT
BL, BR = Field.strength_tensors(
name='B',
internal_irrep=irrep('SU2', '0'),
charges=[0],
)
my_eft = EFT(algebra('SU2'), [BL, BR])
invariants = my_eft.invariants(max_dimension=8, use_eom=False)
print(invariants)
from basisgen import irrep, algebra, boson, scalar, Field, EFT
irrep_5 = irrep('SU5', '1 0 0 0')
irrep_24 = irrep('SU5', '1 0 0 1')
Phi = Field(name='Phi',
lorentz_irrep=scalar,
internal_irrep=irrep_24,
statistics=boson,
dimension=1)
phi = Field(name='phi',
lorentz_irrep=scalar,
internal_irrep=irrep_5,
statistics=boson,
dimension=1)
SU5_GUT_scalar_sector = EFT(algebra('SU5'), [Phi, phi, phi.conjugate])
print(SU5_GUT_scalar_sector.invariants(max_dimension=4, verbose=True))
from basisgen import algebra, irrep, scalar, Field, EFT
phi = Field(name='phi',
lorentz_irrep=scalar,
internal_irrep=irrep('SU2', '1'),
charges=[1 / 2])
my_eft = EFT(algebra('SU2'), [phi, phi.conjugate])
invariants = my_eft.invariants(max_dimension=8)
print(invariants)
print("Total:", invariants.count())
from basisgen import (irrep, algebra, scalar, L_spinor, R_spinor, boson,
fermion, Field, EFT)
from fractions import Fraction
sm_gauge_algebra = algebra('SU3 x SU2')
def sm_irrep(highest_weight_str):
return irrep('SU3 x SU2', highest_weight_str)
phi = Field(name='phi',
lorentz_irrep=scalar,
internal_irrep=sm_irrep('0 0 1'),
charges=[Fraction(1, 2)],
statistics=boson,
dimension=1)
phic = phi.conjugate
BL, BR = Field.strength_tensors(
name='B',
internal_irrep=sm_irrep('0 0 0'),
charges=[0],
)
WL, WR = Field.strength_tensors(
name='W',
internal_irrep=sm_irrep('0 0 2'),
charges=[0],
)