Integrable perturbation of Yang-Lee model - 편집 역사

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2020년 11월 13일 (금) 07:24에 imported>Pythagoras0님의 편집

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2020년 11월 13일 (금) 07:24에 imported>Pythagoras0님의 편집

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imported>Pythagoras0: /* articles */

2015-02-13T04:24:33Z

articles

2013년 3월 12일 (화) 23:21에 imported>Pythagoras0님의 편집

2013-03-12T23:21:51Z

imported>Pythagoras0: 새 문서: ==related items== * Integrable perturbations of Ising model‎ * (2,5) minimal Yang-Lee model * Massive integrable perturbations of CFT and quasi-particles

2013-03-12T22:43:53Z

새 문서

==related items==
* [[Integrable perturbations of Ising model‎]]
* [[(2,5) minimal Yang-Lee model]]
* [[Massive integrable perturbations of CFT and quasi-particles]]

@@ 6번째 줄: / 6번째 줄: @@
 ==perturbed action==
-* $\mathcal{A}_{SLYM}=\mathcal{A}_{M_{2,5}}+i \lambda \int d^2x \varphi(x)$
+* <math>\mathcal{A}_{SLYM}=\mathcal{A}_{M_{2,5}}+i \lambda \int d^2x \varphi(x)</math>
-* $M=(2.642944662\cdots) \lambda^{5/12}$ where $M$ is the single particle mass
+* <math>M=(2.642944662\cdots) \lambda^{5/12}</math> where <math>M</math> is the single particle mass
 * http://www.wolframalpha.com/input/?i=2.642944662
 * spin of conserved charges : 1,5,7,11,13,17,19, ...
@@ 15번째 줄: / 15번째 줄: @@
 * 1 particle
 * S-matrix
-$$
+:<math>
 S_{11}(\theta)=\tanh \left(\frac{1}{2} \left(\theta -\frac{2 i \pi }{3}\right)\right) \coth \left(\frac{1}{2} \left(\theta +\frac{2 i \pi }{3}\right)\right)
-$$
+</math>
 * 커널
-$$
+:<math>
 \phi_{11}(\theta)=-i\frac{d}{d\theta}\log S_{11}(\theta)=\sqrt{3} \left(\frac{1}{2 \cosh (\theta )+1}+\frac{1}{2 \cosh (\theta )-1}\right)
-$$
+</math>
 ==TBA analysis==
+*
-$$
+:<math>
 N=\frac{1}{2\pi}\int_{-\infty}^{\infty}\phi_{11}(\theta)=1
-$$
+</math>

← 이전 판	2020년 11월 13일 (금) 07:24 판
1번째 줄:	1번째 줄:
	+	==introduction==
	+	* S-matrix describes the infrared data of the model
	+	* it is important to check that the UV limit of the model coincides with the conformal field theory that was originally perturbed
	+	* TBA is a method which provides such a check

	+
	+	==perturbed action==
	+	* $\mathcal{A}_{SLYM}=\mathcal{A}_{M_{2,5}}+i \lambda \int d^2x \varphi(x)$
	+	* $M=(2.642944662\cdots) \lambda^{5/12}$ where $M$ is the single particle mass
	+	* http://www.wolframalpha.com/input/?i=2.642944662
	+	* spin of conserved charges : 1,5,7,11,13,17,19, ...
	+
	+
	+	==S-matrix==
	+	* 1 particle
	+	* S-matrix
	+	$$
	+	S_{11}(\theta)=\tanh \left(\frac{1}{2} \left(\theta -\frac{2 i \pi }{3}\right)\right) \coth \left(\frac{1}{2} \left(\theta +\frac{2 i \pi }{3}\right)\right)
	+	$$
	+	* 커널
	+	$$
	+	\phi_{11}(\theta)=-i\frac{d}{d\theta}\log S_{11}(\theta)=\sqrt{3} \left(\frac{1}{2 \cosh (\theta )+1}+\frac{1}{2 \cosh (\theta )-1}\right)
	+	$$
	+
	+
	+	==TBA analysis==
	+	*
	+	$$
	+	N=\frac{1}{2\pi}\int_{-\infty}^{\infty}\phi_{11}(\theta)=1
	+	$$
	+
	+
	+	==related items==
	+	* [[Integrable perturbations of Ising model‎]]
	+	* [[(2,5) minimal Yang-Lee model]]
	+	* [[Massive integrable perturbations of CFT and quasi-particles]]
	+
	+
	+	==computational resource==
	+	* https://docs.google.com/file/d/0B8XXo8Tve1cxVlhNYUY5d3RZMWs/edit
	+
	+
	+
	+	==articles==
	+	* Bianchini, Davide, Olalla A. Castro-Alvaredo, and Benjamin Doyon. ‘Entanglement Entropy of Non-Unitary Integrable Quantum Field Theory’. arXiv:1502.03275 [cond-Mat, Physics:hep-Th], 11 February 2015. http://arxiv.org/abs/1502.03275.
	+	* Fateev, V. A. 1994. “The Exact Relations Between the Coupling Constants and the Masses of Particles for the Integrable Perturbed Conformal Field Theories.” Physics Letters. B 324 (1): 45–51. doi:10.1016/0370-2693(94)00078-6. http://www.sciencedirect.com/science/article/pii/0370269394000786
	+	* Zamolodchikov, Al.B. 1990. “Thermodynamic Bethe Ansatz in Relativistic Models: Scaling 3-state Potts and Lee-Yang Models.” Nuclear Physics B 342 (3) (October 8): 695–720. doi:10.1016/0550-3213(90)90333-9. http://www.sciencedirect.com/science/article/pii/0550321390903339
	+	* Cardy, John L., and G. Mussardo. 1989. “S-matrix of the Yang-Lee Edge Singularity in Two Dimensions.” Physics Letters B 225 (3) (July 20): 275–278. doi:10.1016/0370-2693(89)90818-6. http://www.sciencedirect.com/science/article/pii/0370269389908186
	+	[[분류:migrate]]

← 이전 판		2020년 11월 13일 (금) 07:24 판
1번째 줄:		1번째 줄:
−	~~==introduction==~~
−	* S-matrix describes the infrared data of the model
−	* it is important to check that the UV limit of the model coincides with the conformal field theory that was originally perturbed
−	* TBA is a method which provides such a check

−
−	~~==perturbed action==~~
−	* $\mathcal{A}_{SLYM}=\mathcal{A}_{M_{2,5}}+i \lambda \int d^2x \varphi(x)$
−	* $M=(2.642944662\cdots) \lambda^{5/12}$ where $M$ is the single particle mass
−	* http://www.wolframalpha.com/input/?i=2.642944662
−	* spin of conserved charges : 1,5,7,11,13,17,19, ...
−
−
−	~~==S-matrix==~~
−	* 1 particle
−	* S-matrix
−	$$
−	~~S_{11}(\theta)=\tanh \left(\frac{1}{2} \left(\theta -\frac{2 i \pi }{3}\right)\right) \coth \left(\frac{1}{2} \left(\theta +\frac{2 i \pi }{3}\right)\right)~~
−	$$
−	* 커널
−	$$
−	~~\phi_{11}(\theta)=-i\frac{d}{d\theta}\log S_{11}(\theta)=\sqrt{3} \left(\frac{1}{2 \cosh (\theta )+1}+\frac{1}{2 \cosh (\theta )-1}\right)~~
−	$$
−
−
−	~~==TBA analysis==~~
−	*
−	$$
−	~~N=\frac{1}{2\pi}\int_{-\infty}^{\infty}\phi_{11}(\theta)=1~~
−	$$
−
−
−	~~==related items==~~
−	* [[Integrable perturbations of Ising model‎]]
−	* [[(2,5) minimal Yang-Lee model]]
−	* [[Massive integrable perturbations of CFT and quasi-particles]]
−
−
−	~~==computational resource==~~
−	* https://docs.google.com/file/d/0B8XXo8Tve1cxVlhNYUY5d3RZMWs/edit
−
−
−
−	~~==articles==~~
−	* Bianchini, Davide, Olalla A. Castro-Alvaredo, and Benjamin Doyon. ‘Entanglement Entropy of Non-Unitary Integrable Quantum Field Theory’. arXiv:1502.03275 [cond-Mat, Physics:hep-Th], 11 February 2015. http://arxiv.org/abs/1502.03275.
−	* Fateev, V. A. 1994. “The Exact Relations Between the Coupling Constants and the Masses of Particles for the Integrable Perturbed Conformal Field Theories.” Physics Letters. B 324 (1): 45–51. doi:10.1016/0370-2693(94)00078-6. http://www.sciencedirect.com/science/article/pii/0370269394000786
−	* Zamolodchikov, Al.B. 1990. “Thermodynamic Bethe Ansatz in Relativistic Models: Scaling 3-state Potts and Lee-Yang Models.” Nuclear Physics B 342 (3) (October 8): 695–720. doi:10.1016/0550-3213(90)90333-9. http://www.sciencedirect.com/science/article/pii/0550321390903339
−	* Cardy, John L., and G. Mussardo. 1989. “S-matrix of the Yang-Lee Edge Singularity in Two Dimensions.” Physics Letters B 225 (3) (July 20): 275–278. doi:10.1016/0370-2693(89)90818-6. http://www.sciencedirect.com/science/article/pii/0370269389908186

@@ 43번째 줄: / 43번째 줄: @@
 ==articles==
 * Fateev, V. A. 1994. “The Exact Relations Between the Coupling Constants and the Masses of Particles for the Integrable Perturbed Conformal Field Theories.” Physics Letters. B 324 (1): 45–51. doi:10.1016/0370-2693(94)00078-6. http://www.sciencedirect.com/science/article/pii/0370269394000786
 * Zamolodchikov, Al.B. 1990. “Thermodynamic Bethe Ansatz in Relativistic Models: Scaling 3-state Potts and Lee-Yang Models.” Nuclear Physics B 342 (3) (October 8): 695–720. doi:10.1016/0550-3213(90)90333-9. http://www.sciencedirect.com/science/article/pii/0550321390903339
 * Cardy, John L., and G. Mussardo. 1989. “S-matrix of the Yang-Lee Edge Singularity in Two Dimensions.” Physics Letters B 225 (3) (July 20): 275–278. doi:10.1016/0370-2693(89)90818-6. http://www.sciencedirect.com/science/article/pii/0370269389908186

← 이전 판	2020년 11월 16일 (월) 17:49 판
(차이 없음)

@@ 1번째 줄: / 1번째 줄: @@
 ==related items==
 * [[Integrable perturbations of Ising model‎]]
 * [[(2,5) minimal Yang-Lee model]]
 * [[Massive integrable perturbations of CFT and quasi-particles]]