Math Physics Seminar

Speaker: 
Wayne Polyzou
Topic: 
Can you get from a trivial vacuum to a non-trivial vacuum in light front quantum field theory?

Abstract:

Light front formulations of quantum field theory are useful for computing observables that are sensitive to the structure of hadrons.  The key properties are (1) there is a subgroup of interaction independent boosts (2) the algebra of free fields restricted to the light front is irreducible (3) and the generators of translations tangent to the light front are interaction independent and (4) the spectrum of P⁻, which generates translation in the x⁺ direction tangent to the light front is positive.

These conditions can be used to argue that the light-front vacuum is the

same as the free field Fock vacuum.   Light front generators of the

Poincaré  group are  Noether charges that arise from integration over the light-front, which  should result is a set of generators defined in the irreducible algebra of fields on the light front.  I will discuss how this fails to happen, how it can be fixed and used to recover the non-trivial vacuum for free fields of different masses, and discuss the implications for interacting theories.

Event Date: 
January 25, 2022 - 2:30pm to 3:20pm
Location: 
VAN 309 or Online (See URL)
Calendar Category: 
Seminar
Seminar Category: 
Mathematical Physics