In physics, a sigma model is a field theory that describes the field as a point particle confined to move on a fixed manifold. This manifold can be taken...

their model. This article deals primarily with the quantization of the non-linear sigma model; please refer to the base article on the sigma model for general...

related to the prototypical Ising model, where at each site of a lattice, a spin σ i ∈ { ± 1 } {\displaystyle \sigma _{i}\in \{\pm 1\}} represents a microscopic...

e^{\beta h\sigma _{L}}e^{\beta J\sigma _{L}\sigma _{1}}=\sum _{\sigma _{1},\ldots ,\sigma _{L}}V_{\sigma _{1},\sigma _{2}}V_{\sigma _{2},\sigma _{3}}\cdots...

{\displaystyle G} -WZW model on Σ {\displaystyle \Sigma } at the level k {\displaystyle k} . The model is a nonlinear sigma model whose action is a functional...

_{t}=1-{\frac {1-\sigma _{t}^{2}}{1-\sigma _{t-1}^{2}}}} . In order to use arbitrary noise schedules, instead of training a noise prediction model ϵ θ ( x t ...

is a nonlinear sigma model with the principal homogeneous space of a Lie group G {\displaystyle G} as its target manifold. When the model was originally...

field configuration of a certain class of non-linear sigma models. It was originally proposed as a model of the nucleon by (and named after) Tony Skyrme in...

base model, badged Sigma Galant. The Saturn engine was good for 56 kW (75 hp) of power and 117 N⋅m (86 lb⋅ft) of torque. The mid-range model, the Sigma GL...

Wikimedia Commons has media related to Mitsubishi Sigma. Mitsubishi Sigma is a model name that was used by the Japanese automobile manufacturer Mitsubishi...

Sigma (/ˈsɪɡmə/ SIG-mə; uppercase Σ, lowercase σ, lowercase in word-final position ς; Ancient Greek: σίγμα) is the eighteenth letter of the Greek alphabet...

the stock is then modelled as: S t = S 0 ( 1 − δ ) n ( t ) e u t + σ W t {\displaystyle S_{t}=S_{0}(1-\delta )^{n(t)}e^{ut+\sigma W_{t}}} where n ( t...

general, sigma models exhibit topological soliton solutions. The most famous and well-studied of these is the Skyrmion, which serves as a model of the nucleon...

Six Sigma (6σ) is a set of techniques and tools for process improvement. It was introduced by American engineer Bill Smith while working at Motorola in...

than two dimensions. The continuum limit can be understood to be the sigma model. This can be easily obtained by writing the Hamiltonian in terms of the...

-1\sigma \leq X\leq \mu +1\sigma )&\approx 68.27\%\\\Pr(\mu -2\sigma \leq X\leq \mu +2\sigma )&\approx 95.45\%\\\Pr(\mu -3\sigma \leq X\leq \mu +3\sigma...

Scalar, spinor and gauge Standard Model Chiral model Non-linear sigma model Wess–Zumino–Witten model Wess–Zumino model Supersymmetric Yang–Mills 4D N =...

two-dimensional surfaces. A quantum field theory known as the N = (1,1) sigma model is defined on each surface. This theory consist of maps from the surface...

representations of the Mathieu group M24. This suggests that there is a sigma-model conformal field theory with K3 target that carries M24 symmetry. However...

{\displaystyle dr_{t}=a(b-r_{t})\,dt+\sigma {\sqrt {r_{t}}}\,dW_{t},} where W t {\displaystyle W_{t}} is a Wiener process (modelling the random market risk factor)...

(t)r(t)\right]\,dt+\sigma (t)\,dW(t).} There is a degree of ambiguity among practitioners about exactly which parameters in the model are time-dependent...

dr_{t}=a(b-r_{t})\,dt+\sigma \,dW_{t}} where Wt is a Wiener process under the risk neutral framework modelling the random market risk factor, in that it models the continuous...

through 1983. The first Sigmas were typically dreadnought acoustic, although Grand Concert Series (GCS) and classical models were also produced from the...

{\displaystyle \sigma _{t}^{2}} is modeled by σ t 2 = α 0 + α 1 ϵ t − 1 2 + ⋯ + α q ϵ t − q 2 = α 0 + ∑ i = 1 q α i ϵ t − i 2 {\displaystyle \sigma _{t}^{2}=\alpha...

The simplest theories in which T-duality arises are two-dimensional sigma models with circular target spaces, i.e. compactified free bosons. These are...

launched the Sigma with the Sigma 7 and Sigma 10 models, with the Sigma 7 being a single door model and the Sigma 10 being a dual door model. The Sigma 7 debuted...

types of Sigma combatants Sigma frigate Sigma corvette Sigma fast attack corvette Simplified comparisons between the different Sigma models. There are...

Design for Six Sigma (DFSS) is a collection of best-practices for the development of new products and processes. It is sometimes deployed as an engineering...

{\displaystyle \sigma } , whereas the timelike worldsheet coordinate is called τ {\displaystyle \tau } . This is also known as the nonlinear sigma model. The Polyakov...

Path of Buddhism). Gell-Mann, along with Maurice Lévy, developed the sigma model of pions, which describes low-energy pion interactions. In 1964, Gell-Mann...