feynlag.vacuum.diagonalize.Rotation

class feynlag.vacuum.diagonalize.Rotation(old_fields, new_fields, matrix, kind='orthogonal')

A change of basis new = R · old.

Parameters:

• old_fields – weak-basis symbols.

• new_fields – physical-basis symbols (created by the caller — physics names like h, H, G0, A0).

• matrix – the rotation R with new_i = Σ_j R[i,j] old_j.

• kind – ‘orthogonal’ (default), ‘unitary’ or ‘general’ — selects how the inverse is computed (Rᵀ, R†, R⁻¹).

__init__(old_fields, new_fields, matrix, kind='orthogonal')

Methods

__init__(old_fields, new_fields, matrix[, kind])
apply(M)	R M R⁻¹-conjugated matrix in the new basis (for symmetric M and orthogonal R this is R M Rᵀ).
check(M[, simplifier])	Verify that this rotation diagonalizes M.
masses_squared(M[, simplifier])	Diagonal entries of R M R⁻¹ (physical masses², new-field order).
substitution()	Dict rewriting old (weak) fields in terms of new (physical) ones: old_i → Σ_j (R⁻¹)[i,j] new_j.

Attributes

inverse