Conformal Field Theory - Scale Invariance Vs. Conformal Invariance

Scale Invariance Vs. Conformal Invariance

While it is possible for a quantum field theory to be scale invariant but not conformally-invariant, examples are rare . For this reason, the terms are often used interchangeably in the context of quantum field theory, even though the conformal symmetry is larger.

In some particular cases it is possible to prove that scale invariance implies conformal invariance in a quantum field theory, for example in unitary compact conformal field theories in two dimensions.

Read more about this topic:  Conformal Field Theory

Famous quotes containing the word scale:

    “With a defeated joy,
    With an auspicious, and a dropping eye,
    With mirth in funeral, and with dirge in marriage,
    In equal scale weighing delight and dole.”
    —William Shakespeare (1564–1616)