### Some articles on *integral, functional, functional integral*:

... However, the path

**integral**formulation is also extremely important in direct application to quantum field theory, in which the "paths" or histories being considered are not the motions of a single particle ... The action is referred to technically as a

**functional**of the field S where the field ϕ(xμ) is itself a function of space and time, and the square brackets are a reminder that the action ... the formal study of QFT is devoted to the properties of the resulting

**functional integral**, and much effort (not yet entirely successful) has been made toward making these

**functional**...

... first law of thermodynamics for stationary black holes can be derived from the microcanonical

**functional integral**for the gravitational field ... finite region and the density of states expressed formally as a

**functional integral**over Lorentzian metrics and as a

**functional**of the geometrical boundary data that are fixed in ... with a black hole event horizon, the density of states can be expressed as a real-time

**functional integral**and subsequently used to deduce Feynman's imaginary-time

**functional integral**for the ...

### Famous quotes containing the words integral and/or functional:

“Self-centeredness is a natural outgrowth of one of the toddler’s major concerns: What is me and what is mine...? This is why most toddlers are incapable of sharing ... to a toddler, what’s his is what he can get his hands on.... When something is taken away from him, he feels as though a piece of him—an *integral* piece—is being torn from him.”

—Lawrence Balter (20th century)

“Indigenous to Minnesota, and almost completely ignored by its people, are the stark, unornamented, *functional* clusters of concrete—Minnesota’s grain elevators. These may be said to express unconsciously all the principles of modernism, being built for use only, with little regard for the tenets of esthetic design.”

—Federal Writers’ Project Of The Wor, U.S. public relief program (1935-1943)