Sensitivity of nonrenormalizable trajectories to the bare scale

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 7, 2008, Pages

  Rosten, Oliver J ^a  

^a DUBLIN INSTITUTE FOR ADVANCED STUDIES   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38949137327     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/7/075406     Document Type: Article

References (39)

1. Wilson K and Kogut J 1974 The renormalization group and the epsilon expansion Phys. Rep. 12 75
2. Wegner F J and Houghton A 1973 Renormalization group equation for critical phenomena Phys. Rev. A 8 401
3. Polchinski J 1984 Renormalization and effective lagrangians Nucl. Phys. B 231 269
4. Morris T R 1998 Elements of the continuous renormalization group Prog. Theor. Phys. 131 395
5. Hasenfratz P and Niedermayer F 1994 Perfect lattice action for asymptotically free theories Nucl. Phys. B 414 785
6. 4 in four-dimensions Helv. Phys. Acta 65 32
7. Beneke M 1999 Renormalons Phys. Rep. 317 1
8. Arnone S, Gatti A and Morris T R 2003 A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory Phys. Rev. D 67 085004
9. Arnone S, Gatti A, Morris T R and Rosten O J 2004 Exact scheme independence at two loops Phys. Rev. D 69 065009
10. Arnone S, Morris T R and Rosten O J 2007 A generalised manifestly gauge invariant exact renormalisation group for su(n) Yang-Mills Eur. Phys. J. C 50 467
11. Morris T R and Rosten O J 2006 A manifestly gauge invariant, continuum calculation of the su(n) Yang-Mills two-loop beta function Phys. Rev. D 73 065003
12. Hasenfratz P and Nager J 1988 The cutoff dependence of the Higgs meson mass and the onset of new physics in the standard model Z. Phys. 37 477
13. Ball R D, Haagensen P E, Latorre J I and Moreno E 1995 Scheme independence and the exact renormalization group Phys. Lett. B 347 80
14. Pawlowski J M 2007 Aspects of the functional renormalisation group Ann. Phys. 332 2831
15. Litim D F 2000 Optimisation of the exact renormalisation group Phys. Lett. B 486 92
16. Litim D F 2001 Optimised renormalisation group flows Phys. Rev. D 64 105007
17. Litim D F 2001 Mind the gap Int. J. Mod. Phys. A 16 2081
18. Comellas J 1998 Polchinski equation, reparameterization invariance and the derivative expansion Nucl. Phys. B 509 662
19. Mouhanna D, Canet L, Delamotte B and Vidal J 2003 Optimization of the derivative expansion in the nonperturbative renormalization group Phys. Rev. D 67 065004
20. Stevenson P M 1981 Optimized perturbation theory Phys. Rev. D 23 2916
21. Rosten O J 2007 Universality from very general nonperturbative flow equations in QCD Phys. Lett. B 645 466
22. Morris T R 1999 A manifestly gauge invariant exact renormalization group The Exact Renormalization Group ed A Krasnitz et al (Singapore: World Scientific) p 1
23. Morris T R 2000 A gauge invariant exact renormalization group: I Nucl. Phys. B 573 97
24. Morris T R 2000 A gauge invariant exact renormalization group: II J. High Energy Phys. JHEP12(2000)012
25. Rosten O J 2006 A manifestly gauge invariant and universal calculus for su(n) Yang-Mills Int. J. Mod. Phys. A 21 4627
26. Rosten O J 2006 A primer for manifestly gauge invariant computations in su(n) Yang-Mills J. Phys. A: Math. Gen. 39 8699
27. Rosten O J 2006 Scheme independence to all loops J. Phys. A: Math. Gen. 39 8699
28. Morris T R and Rosten O J 2006 Manifestly gauge invariant QCD J. Phys. A: Math. Gen. 39 11657
29. Rosten O J 2006 General computations without fixing the gauge Phys. Rev. D 74 125006
30. Rosten O J 2005 The manifestly gauge invariant exact renormalisation group PhD Thesis Southampton University
31. Arnone S, Morris T R and Rosten O J 2005 Manifestly gauge invariant QED J. High Energy Phys. JHEP10(2005)115
32. Morris T R, Arnone S and Rosten O J 2007 Manifestly gauge invariant exact renormalization group Fields Inst. Commun. 50 1
33. Morris T R 1994 The exact renormalization group and approximate solutions Int. J. Mod. Phys. A 9 2411
34. Morris T R 1994 On truncations of the exact renormalization group Phys. Lett. B 334 355
35. Aoki K I, Morikawa K, Souma W, Sumi J I and Terao H 1998 Rapidly converging truncation scheme of the exact renormalization group Prog. Theor. Phys. 99 451
36. Wegner F J 1974 Some invariance properties of the renormalization group J. Phys. C: Solid State Phys. 7 2098
37. Morris T R and Latorre J L 2000 Exact scheme independence J. High Energy Phys. JHEP11(2000)004
38. Kadanoff L P 1966 Scaling laws for Ising models near t(c) Physics 2 263
39. Arnone S, Gatti A and Morris T R 2002 Exact scheme independence at one loop J. High Energy Phys. JHEP05(2002)059