conformal field theory and fixed points

... concentrate on the theory that is defined on the sphere Let us begin by analysing the meromorphic conformal subtheory in some detail Conformal Field Theory 10 Meromorphic Conformal Field Theory In this ... of a conformal structure, but more advanced Conformal Field Theory 22 features of the theory do, and therefore the conformal structure is an integral part of the theory A meromorphic field theory ... is the conformal weight of ψi , and we call h and h the conformal weights of φ ¯ ¯ and φ, respectively Since φ and φ are not meromorphic fields, h and ¯ are in general h not half-integer, and the...

Ngày tải lên: 31/03/2014, 16:21

... particle physics, including electroweak theory, quantum chromodynamics, grand unified theory, supersymmetry, supergravity and superstring theory, has changed our standpoint on the history of the universe ... Bailin D and Love A 1994 Supersymmetric Gauge Field Theory and String Theory (Bristol: IOP) ch [4] Weinberg S 1987 Phys Rev Lett 59 2607 [5] Weinberg S 1977 The First Three Minutes (London: Andr´ ... Nuno Antunes, Mar Bastero-Gil, Ed Copeland, Beatriz de Carlos, Mark Hindmarsh, George Kraniotis, Andrew Liddle, Andr´ Lukas and Paul Saffin for the particle and cosmological physics that we e have...

Ngày tải lên: 24/04/2014, 17:06

... x, y Î X be arbitrary and fixed and consider the following five cases: Włodarczyk and Plebaniak Fixed Point Theory and Applications 2011, 2011:90 http://www.fixedpointtheoryandapplications.com/content/2011/1/90 ... Włodarczyk and Plebaniak Fixed Point Theory and Applications 2011, 2011:90 http://www.fixedpointtheoryandapplications.com/content/2011/1/90 Page of 24 (c) Let u0 Î X be arbitrary and fixed By (a), ... holds and, additionally, the conditions (D1) and (D3) hold, then (D2) is satisfied Włodarczyk and Plebaniak Fixed Point Theory and Applications 2011, 2011:90 http://www.fixedpointtheoryandapplications.com/content/2011/1/90...

Ngày tải lên: 20/06/2014, 21:20

... 〈v - u, w〉 ≥ 0, ∀u Î C}, and define Tv = Av + NC v, v ∈ C, ∅, v ∈ C Bunyawat and Suantai Fixed Point Theory and Applications 2011, 2011:47 http://www.fixedpointtheoryandapplications.com/content/2011/1/47 ... nÎN} - 1||, supnÎN g ||f (xn - 1)||} and M = sup{||Bxn-1|| : Bunyawat and Suantai Fixed Point Theory and Applications 2011, 2011:47 http://www.fixedpointtheoryandapplications.com/content/2011/1/47 ... Bunyawat and Suantai Fixed Point Theory and Applications 2011, 2011:47 http://www.fixedpointtheoryandapplications.com/content/2011/1/47 Page of 13 ¯ ¯ By Lemma 2.2, we have that ||I − A|| ≤ − γ , and...

Ngày tải lên: 21/06/2014, 00:20

... (1.2) Page of 19 Peng Fixed Point Theory and Applications 2011, 2011:12 http://www.fixedpointtheoryandapplications.com/content/2011/1/12 Page of 19 and the set of fixed points of a family of ... Peng Fixed Point Theory and Applications 2011, 2011:12 http://www.fixedpointtheoryandapplications.com/content/2011/1/12 Let the mapping A : C ® H be monotone and k-Lipschitz-continuous ... (3:1) Peng Fixed Point Theory and Applications 2011, 2011:12 http://www.fixedpointtheoryandapplications.com/content/2011/1/12 Page of 19 ), {rn} ⊂ [d, e] for some 4k d, e Î (0, 2a), and {an},...

Ngày tải lên: 21/06/2014, 02:20

... Article ID 703938, 21 pages, 2011 10 Fixed Point Theory and Applications A Latif and S A Al-Mezel, Fixed point results in quasimetric spaces,” Fixed Point Theory and Applications, vol 2011, Article ... ∈ T z On the other hand, Bianchini and Grandolfi proved in 29 the following fixed point theorem Theorem 3.2 Bianchini and Grandolfi 29 Let X, d be a complete metric space and let T : X → X be ... Fixed Point Theory and Applications, M A Th´ and J B Baillon, Eds., vol 252 of Pitman Research Notes e in Mathematics Series, pp 397–406, Longman, Harlow, UK, 1991 S Al-Homidan, Q H Ansari, and...

Ngày tải lên: 21/06/2014, 05:20

... Article ID 703938, 21 pages, 2011 10 Fixed Point Theory and Applications A Latif and S A Al-Mezel, Fixed point results in quasimetric spaces,” Fixed Point Theory and Applications, vol 2011, Article ... ∈ T z On the other hand, Bianchini and Grandolfi proved in 29 the following fixed point theorem Theorem 3.2 Bianchini and Grandolfi 29 Let X, d be a complete metric space and let T : X → X be ... Fixed Point Theory and Applications, M A Th´ and J B Baillon, Eds., vol 252 of Pitman Research Notes e in Mathematics Series, pp 397–406, Longman, Harlow, UK, 1991 S Al-Homidan, Q H Ansari, and...

Ngày tải lên: 21/06/2014, 17:20

... every scaler a ∈ R and A, B subsets Fixed Point Theory and Applications The following lemma is easily proved Lemma 2.3 Let A, B, C ⊆ E, x, y ∈ E, a ∈ R , and a / If A A B, and B B ⇔ aA C, then ... and X Zhang, “Cone metric spaces and fixed point theorems of contractive mappings,” Journal of Mathematical Analysis and Applications, vol 332, no 2, pp 1468–1476, 2007 8 Fixed Point Theory and ... , < p < ∞ , and P : {f ∈ E : f x ≥ μ a.e on X} The cone P is normal, minihedral and strongly minihedral with P o ∅ For more details about above examples, see 11 Fixed Point Theory and Applications...

Ngày tải lên: 21/06/2014, 20:20

... of Inequalities and Applications For finding a common element of the set of fixed points of nonexpansive mappings and the set of solution of the variational inequalities, Iiduka and Takahashi introduced ... ∈ G T Since w − Bv ∈ NC v and yn ∈ C, we have v − yn , w − Bv ≥ On the other hand, by Lemma 2.1 iv and from yn PC xn − λn Bxn , we have v − yn , yn − xn − λn Bxn and hence v − yn , yn − xn /λn ... Theorems 4.1 and 4.2 in , respectively Acknowledgments The authors would like to thank the referee for valuable suggestions to improve this manuscript and the Thailand Research Fund RGJ Project and Commission...

Ngày tải lên: 22/06/2014, 02:20

... functions, and scalar multiplication given by (α f )(x) = α f (x) for α ∈ C, f ∈ ᐅ, and x ∈ X (2) Whenever f ,g ∈ ᐅ and f (x) = g(x) for all x ∈ X, we have that f = g (3) Whenever f ,g ∈ ᐅ,x, y ∈ X, and ... by d(z,A), and we say that z→A if and only if d(z,A)→0 Let D be a bounded domain in Cn , and suppose that ψ : D→C We say that ψ is bounded away from zero toward the boundary of D if and only if ... Iteration Theory of Holomorphic Maps on Taut Manifolds, Research and Lecture Notes in Mathematics Complex Analysis and Geometry, Mediterranean Press, Rende, Italy, 1989 [10] J.-P Vigu´ , “Points...

Ngày tải lên: 22/06/2014, 19:20

... of convex sets and functions on parameters, Journal of Mathematical Analysis and Applications 28 (1969), no 1, 4–25 [18] V M Sehgal and S P Singh, On random approximations and a random fixed point ... Shahzad and N Hussain, Deterministic and random coincidence point results for f nonexpansive maps, to appear in Journal of Mathematical Analysis and Applications [20] N Shahzad and A Latif, A random ... a measurable space, and let f : Ω × X → X and T : Ω × X → CB(X) be two mappings satisfying the conditions (i) and (ii) in Theorem 2.1 If f (ω × X) = X for each ω ∈ Ω and f and T satisfy the following...

Ngày tải lên: 22/06/2014, 22:20

... 81–82 8 Diametrically contractive maps and fixed points [9] B Sims, Examples of fixed point free mappings, Handbook of Metric Fixed Point Theory (W A Kirk and B Sims, eds.), Kluwer Academic, Dordrecht, ... 82T-46-316 [3] J Jachymski, Order-theoretic aspects of metric fixed point theory, Handbook of Metric Fixed Point Theory (W A Kirk and B Sims, eds.), Kluwer Academic, Dordrecht, 2001, pp 613–641 [4] ... 2 Diametrically contractive maps and fixed points references therin; we will call them shrinking We briefly recall some results and properties of maps in this class: (1) the fixed...

Ngày tải lên: 22/06/2014, 22:20

... coincidences, and fixed points and [6, Theorems and 5], Fan [6, 9], [10, Theorem 5] and [8, Theorem 1], Glicksberg [14], Kakutani [18], Bohnenblust and Karlin [3], Halpern and Bergman [15], and others) ... compact and convex and F3 and G3 are s.t.p.h.c and t.p.h.c on C (thus also s.t.h.c and t.h.c by Proposition 2.4, Remark 2.2 and Definitions 2.1 and 2.3) but not u.h.c on C Examples and remarks Let ... 103–113 , Fixed- point and related theorems for noncompact convex sets, Game Theory and Related Topics (Proc Sem., Bonn and Hagen, 1978) (O Moeschlin and D Pallaschke, eds.), NorthHolland, Amsterdam,...

Ngày tải lên: 23/06/2014, 00:20

... FIELD THEORY AND EXPERIMENT IN SOCIAL PSYCHOLOGY: CONCEPTS AND METHODS KURT LEWIN ABSTRACT in integrating The fieldtheoreticalapproachis instrumental divergentphysiological, psychological ,and ... froma, b,andc) IV Readinessto takeextreme attitudesand actionsand to shift froma, b,andc) hispositionradically(follows V The "adolescentbehavior"shouldappearonlyifthestructure and dynamicofthefieldis ... use subject to JSTOR Terms and Conditions FIELD THEORY IN SOCIAL PSYCHOLOGY 877 addition,a regionwhichpreviously appearedto be wellknownand reliablebecomesnow unknownand unreliable.This changenecesinthestability...

Ngày tải lên: 25/08/2016, 19:57

... Antenna Theory and Design, Revised Edition Elliot, R S., Electromagnetics: History Theory, and Applications Felsen, L B., and Marcuvitz, N., Radiation and Scattering of Waves Harrington, R F, Field ... Harmonic Electromagnetic Fields Hansen et al., Plane-Wave Theory of Time-Domain Fields Near -Field Scanning Applications Ishimaru, A., Wave Propagation and Scattering in Random Media Jones, D S., ... Figure 2.1 (b) Conformal Array Antenna Theory and Design By Lars Josefsson and Patrik Persson © 2006 Institute of Electrical and Electronics Engineers, Inc 15 16 CIRCULAR ARRAY THEORY (a) (b)...

Ngày tải lên: 17/03/2014, 13:45

... The Dirac Field The two-component objects L and R are called left-handed and righthanded Weyl spinors You can easily verify that their transformation laws, under in nitesimal rotations and boosts ... left-handed and righthanded particles, respectively, and are separately conserved The two currents j (x) and j (x) are the Noether currents corresponding to the two transformations (x) ! ei (x) and ... the reader, to take up this tool and apply it in novel and enlightening ways Chapter The Klein-Gordon Field 2.1 The Necessity of the Field Viewpoint Quantum eld theory is the application of quantum...

Ngày tải lên: 17/03/2014, 14:38

... 10 16 16 20 21 Conformal Field Theories and AdS Spaces 2.1 Conformal Field Theories 2.1.1 The Conformal Group and Algebra 2.1.2 Primary Fields, Correlation ... 10-dimensional string theory is described by a string which also has fermionic excitations and gives rise to a supersymmetric theory. 1 String theory is then a candidate for a quantum theory of gravity ... × S and the low energy field theory living on the D-branes is a 1+1 dimensional conformal field theory In this D1-D5 case there were numerous calculations that agreed between the field theory and...

Ngày tải lên: 17/03/2014, 14:48

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