In quantum field theory, partition functions are generating functionals for correlation functions, making them key objects of study in the path integral...

modes of a molecule Partition function (quantum field theory), partition function for quantum path integrals Partition function (mathematics), generalization...

In quantum field theory, correlation functions, often referred to as correlators or Green's functions, are vacuum expectation values of time-ordered products...

Z(N_{i},V,T)} is the canonical partition function. Partition function (mathematics) Partition function (quantum field theory) Virial theorem Widom insertion...

Fubini–Study metric, the theory of quantum mechanics and more generally quantum field theory results. In these theories, the partition function is heavily exploited...

In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes...

Multiplicative partition Noncrossing partition Ordered partition of a set Partition calculus Partition function (quantum field theory) Partition function (statistical...

physics, scalar field theory can refer to a relativistically invariant classical or quantum theory of scalar fields. A scalar field is invariant under...

application in the quantum field theory of the weak force, and its unification with electromagnetism in the electroweak theory. Gauge theories became even more...

interpolation of data, in signal processing, and the theory of spline functions. The existence of partitions of unity assumes two distinct forms: Given any...

or charged polymer system. It can be derived by transforming the partition function from its standard many-dimensional integral representation over the...

In theoretical physics, specifically quantum field theory, a beta function or Gell-Mann–Low function, β(g), encodes the dependence of a coupling parameter...

Gaussian random-field theories, the 1D Ising model). Often combinatorial problems arise that make things like computing the partition function of a system...

Quantum cosmology is the attempt in theoretical physics to develop a quantum theory of the universe. This approach attempts to answer open questions of...

In theoretical physics, quantum field theory in curved spacetime (QFTCS) is an extension of quantum field theory from Minkowski spacetime to a general...

In quantum mechanics and quantum field theory, the propagator is a function that specifies the probability amplitude for a particle to travel from one...

In a quantum field theory, charge screening can restrict the value of the observable "renormalized" charge of a classical theory. If the only resulting...

In quantum field theory, the quantum effective action is a modified expression for the classical action taking into account quantum corrections while ensuring...

equation. It is generalizable to more complicated problems, notably in quantum field theory. Following this approach, we define the operators a and its adjoint...

dependent, however the partition function of the quantum theory is well-defined when the level is an integer and the gauge field strength vanishes on all...

the history of quantum field theory starts with its creation by Paul Dirac, when he attempted to quantize the electromagnetic field in the late 1920s...

speaking, though, this is the partition function for a statistical field theory. Clearly, such a deep analogy between quantum mechanics and statistical mechanics...

terms play no role. In quantum field theories they only provide an irrelevant overall multiplicative term to the partition function, so again play no role...

physics Yang–Mills theory and the mass gap. Quantum particles described by the theory have mass but the classical waves of the field travel at the speed...

physics, quantum field theory (QFT) is a theoretical framework that combines field theory and the principle of relativity with ideas behind quantum mechanics...

of zeta-function regularization is the calculation of the vacuum expectation value of the energy of a particle field in quantum field theory. More generally...

Paul Dirac in the context of quantum field theory, in his construction of quantum electrodynamics. In the field theory context, it is also called the...

E_{n}}=Z(\beta ).} This is called the partition function; it is the quantum mechanical version of the canonical partition function of classical statistical mechanics...

effective field theory is a type of approximation, or effective theory, for an underlying physical theory, such as a quantum field theory or a statistical...

Density functional theory (DFT) is a computational quantum mechanical modelling method used in physics, chemistry and materials science to investigate...